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Finding the Third Proportional to 209,061 and 280,908

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Solution

The third proportional to 209,061 and 280,908 is: 377,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,061 : 280,908 = 280,908 : x
  2. Step 2: Convert to fraction form
    209,061/280,908 = 280,908/x
  3. Step 3: Cross multiply
    209,061x = 280,908 × 280,908
  4. Step 4: Simplify right side
    209,061x = 78,909,304,464
  5. Step 5: Solve for x
    x = 78,909,304,464/209,061
  6. Step 6: Final answer
    x = 377,446.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.