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Finding the Third Proportional to 133,773.38 and 207,045.94

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Solution

The third proportional to 133,773.38 and 207,045.94 is: 320,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.38 : 207,045.94 = 207,045.94 : x
  2. Step 2: Convert to fraction form
    133,773.38/207,045.94 = 207,045.94/x
  3. Step 3: Cross multiply
    133,773.38x = 207,045.94 × 207,045.94
  4. Step 4: Simplify right side
    133,773.38x = 42,868,020,235.25
  5. Step 5: Solve for x
    x = 42,868,020,235.25/133,773.38
  6. Step 6: Final answer
    x = 320,452.56

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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.