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Finding the Third Proportional to 152,637.75 and 335,727

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Solution

The third proportional to 152,637.75 and 335,727 is: 738,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,637.75 : 335,727 = 335,727 : x
  2. Step 2: Convert to fraction form
    152,637.75/335,727 = 335,727/x
  3. Step 3: Cross multiply
    152,637.75x = 335,727 × 335,727
  4. Step 4: Simplify right side
    152,637.75x = 112,712,618,529
  5. Step 5: Solve for x
    x = 112,712,618,529/152,637.75
  6. Step 6: Final answer
    x = 738,432.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.