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Finding the Third Proportional to 129,897 and 279,522

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Solution

The third proportional to 129,897 and 279,522 is: 601,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,897 : 279,522 = 279,522 : x
  2. Step 2: Convert to fraction form
    129,897/279,522 = 279,522/x
  3. Step 3: Cross multiply
    129,897x = 279,522 × 279,522
  4. Step 4: Simplify right side
    129,897x = 78,132,548,484
  5. Step 5: Solve for x
    x = 78,132,548,484/129,897
  6. Step 6: Final answer
    x = 601,496.17

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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.