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Finding the Third Proportional to 133,747.50 and 207,764.25

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Solution

The third proportional to 133,747.50 and 207,764.25 is: 322,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,747.50 : 207,764.25 = 207,764.25 : x
  2. Step 2: Convert to fraction form
    133,747.50/207,764.25 = 207,764.25/x
  3. Step 3: Cross multiply
    133,747.50x = 207,764.25 × 207,764.25
  4. Step 4: Simplify right side
    133,747.50x = 43,165,983,578.06
  5. Step 5: Solve for x
    x = 43,165,983,578.06/133,747.50
  6. Step 6: Final answer
    x = 322,742.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.