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Finding the Third Proportional to 131,668 and 279,023

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Solution

The third proportional to 131,668 and 279,023 is: 591,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,668 : 279,023 = 279,023 : x
  2. Step 2: Convert to fraction form
    131,668/279,023 = 279,023/x
  3. Step 3: Cross multiply
    131,668x = 279,023 × 279,023
  4. Step 4: Simplify right side
    131,668x = 77,853,834,529
  5. Step 5: Solve for x
    x = 77,853,834,529/131,668
  6. Step 6: Final answer
    x = 591,288.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.