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Finding the Third Proportional to 127,799.30 and 268,819.17

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Solution

The third proportional to 127,799.30 and 268,819.17 is: 565,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,799.30 : 268,819.17 = 268,819.17 : x
  2. Step 2: Convert to fraction form
    127,799.30/268,819.17 = 268,819.17/x
  3. Step 3: Cross multiply
    127,799.30x = 268,819.17 × 268,819.17
  4. Step 4: Simplify right side
    127,799.30x = 72,263,747,167.56
  5. Step 5: Solve for x
    x = 72,263,747,167.56/127,799.30
  6. Step 6: Final answer
    x = 565,447.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.