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Finding the Third Proportional to 126,324 and 272,352

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Solution

The third proportional to 126,324 and 272,352 is: 587,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324 : 272,352 = 272,352 : x
  2. Step 2: Convert to fraction form
    126,324/272,352 = 272,352/x
  3. Step 3: Cross multiply
    126,324x = 272,352 × 272,352
  4. Step 4: Simplify right side
    126,324x = 74,175,611,904
  5. Step 5: Solve for x
    x = 74,175,611,904/126,324
  6. Step 6: Final answer
    x = 587,185.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.