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Finding the Third Proportional to 157,727 and 238,472

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Solution

The third proportional to 157,727 and 238,472 is: 360,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,727 : 238,472 = 238,472 : x
  2. Step 2: Convert to fraction form
    157,727/238,472 = 238,472/x
  3. Step 3: Cross multiply
    157,727x = 238,472 × 238,472
  4. Step 4: Simplify right side
    157,727x = 56,868,894,784
  5. Step 5: Solve for x
    x = 56,868,894,784/157,727
  6. Step 6: Final answer
    x = 360,552.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.