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Finding the Third Proportional to 238,843 and 372,792

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Solution

The third proportional to 238,843 and 372,792 is: 581,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,843 : 372,792 = 372,792 : x
  2. Step 2: Convert to fraction form
    238,843/372,792 = 372,792/x
  3. Step 3: Cross multiply
    238,843x = 372,792 × 372,792
  4. Step 4: Simplify right side
    238,843x = 138,973,875,264
  5. Step 5: Solve for x
    x = 138,973,875,264/238,843
  6. Step 6: Final answer
    x = 581,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.