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Finding the Third Proportional to 126,350 and 272,382

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Solution

The third proportional to 126,350 and 272,382 is: 587,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,350 : 272,382 = 272,382 : x
  2. Step 2: Convert to fraction form
    126,350/272,382 = 272,382/x
  3. Step 3: Cross multiply
    126,350x = 272,382 × 272,382
  4. Step 4: Simplify right side
    126,350x = 74,191,953,924
  5. Step 5: Solve for x
    x = 74,191,953,924/126,350
  6. Step 6: Final answer
    x = 587,193.94

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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.