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Finding the Third Proportional to 152,724 and 232,327

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Solution

The third proportional to 152,724 and 232,327 is: 353,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,724 : 232,327 = 232,327 : x
  2. Step 2: Convert to fraction form
    152,724/232,327 = 232,327/x
  3. Step 3: Cross multiply
    152,724x = 232,327 × 232,327
  4. Step 4: Simplify right side
    152,724x = 53,975,834,929
  5. Step 5: Solve for x
    x = 53,975,834,929/152,724
  6. Step 6: Final answer
    x = 353,420.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.