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Finding the Third Proportional to 170,473.50 and 255,710.25

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Solution

The third proportional to 170,473.50 and 255,710.25 is: 383,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,473.50 : 255,710.25 = 255,710.25 : x
  2. Step 2: Convert to fraction form
    170,473.50/255,710.25 = 255,710.25/x
  3. Step 3: Cross multiply
    170,473.50x = 255,710.25 × 255,710.25
  4. Step 4: Simplify right side
    170,473.50x = 65,387,731,955.06
  5. Step 5: Solve for x
    x = 65,387,731,955.06/170,473.50
  6. Step 6: Final answer
    x = 383,565.38

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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.