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Finding the Third Proportional to 170,308.50 and 255,462.75

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Solution

The third proportional to 170,308.50 and 255,462.75 is: 383,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,308.50 : 255,462.75 = 255,462.75 : x
  2. Step 2: Convert to fraction form
    170,308.50/255,462.75 = 255,462.75/x
  3. Step 3: Cross multiply
    170,308.50x = 255,462.75 × 255,462.75
  4. Step 4: Simplify right side
    170,308.50x = 65,261,216,637.56
  5. Step 5: Solve for x
    x = 65,261,216,637.56/170,308.50
  6. Step 6: Final answer
    x = 383,194.13

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.