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Finding the Third Proportional to 133,553.25 and 207,988.88

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Solution

The third proportional to 133,553.25 and 207,988.88 is: 323,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,553.25 : 207,988.88 = 207,988.88 : x
  2. Step 2: Convert to fraction form
    133,553.25/207,988.88 = 207,988.88/x
  3. Step 3: Cross multiply
    133,553.25x = 207,988.88 × 207,988.88
  4. Step 4: Simplify right side
    133,553.25x = 43,259,372,123.77
  5. Step 5: Solve for x
    x = 43,259,372,123.77/133,553.25
  6. Step 6: Final answer
    x = 323,911.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.