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Finding the Third Proportional to 126,340 and 272,264

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Solution

The third proportional to 126,340 and 272,264 is: 586,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,340 : 272,264 = 272,264 : x
  2. Step 2: Convert to fraction form
    126,340/272,264 = 272,264/x
  3. Step 3: Cross multiply
    126,340x = 272,264 × 272,264
  4. Step 4: Simplify right side
    126,340x = 74,127,685,696
  5. Step 5: Solve for x
    x = 74,127,685,696/126,340
  6. Step 6: Final answer
    x = 586,731.72

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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.