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Finding the Third Proportional to 131,331 and 200,809.13

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Solution

The third proportional to 131,331 and 200,809.13 is: 307,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,331 : 200,809.13 = 200,809.13 : x
  2. Step 2: Convert to fraction form
    131,331/200,809.13 = 200,809.13/x
  3. Step 3: Cross multiply
    131,331x = 200,809.13 × 200,809.13
  4. Step 4: Simplify right side
    131,331x = 40,324,304,683.27
  5. Step 5: Solve for x
    x = 40,324,304,683.27/131,331
  6. Step 6: Final answer
    x = 307,043.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.