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Finding the Third Proportional to 109,532 and 238,792

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Solution

The third proportional to 109,532 and 238,792 is: 520,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,532 : 238,792 = 238,792 : x
  2. Step 2: Convert to fraction form
    109,532/238,792 = 238,792/x
  3. Step 3: Cross multiply
    109,532x = 238,792 × 238,792
  4. Step 4: Simplify right side
    109,532x = 57,021,619,264
  5. Step 5: Solve for x
    x = 57,021,619,264/109,532
  6. Step 6: Final answer
    x = 520,593.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.