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Finding the Third Proportional to 127,359 and 268,650

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Solution

The third proportional to 127,359 and 268,650 is: 566,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,359 : 268,650 = 268,650 : x
  2. Step 2: Convert to fraction form
    127,359/268,650 = 268,650/x
  3. Step 3: Cross multiply
    127,359x = 268,650 × 268,650
  4. Step 4: Simplify right side
    127,359x = 72,172,822,500
  5. Step 5: Solve for x
    x = 72,172,822,500/127,359
  6. Step 6: Final answer
    x = 566,688.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.