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Finding the Third Proportional to 170,535 and 255,802.50

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Solution

The third proportional to 170,535 and 255,802.50 is: 383,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,535 : 255,802.50 = 255,802.50 : x
  2. Step 2: Convert to fraction form
    170,535/255,802.50 = 255,802.50/x
  3. Step 3: Cross multiply
    170,535x = 255,802.50 × 255,802.50
  4. Step 4: Simplify right side
    170,535x = 65,434,919,006.25
  5. Step 5: Solve for x
    x = 65,434,919,006.25/170,535
  6. Step 6: Final answer
    x = 383,703.75

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Similar ratio
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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.