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Finding the Third Proportional to 126,382 and 272,348

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Solution

The third proportional to 126,382 and 272,348 is: 586,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,382 : 272,348 = 272,348 : x
  2. Step 2: Convert to fraction form
    126,382/272,348 = 272,348/x
  3. Step 3: Cross multiply
    126,382x = 272,348 × 272,348
  4. Step 4: Simplify right side
    126,382x = 74,173,433,104
  5. Step 5: Solve for x
    x = 74,173,433,104/126,382
  6. Step 6: Final answer
    x = 586,898.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.