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Finding the Third Proportional to 149,700.38 and 226,104.75

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Solution

The third proportional to 149,700.38 and 226,104.75 is: 341,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,700.38 : 226,104.75 = 226,104.75 : x
  2. Step 2: Convert to fraction form
    149,700.38/226,104.75 = 226,104.75/x
  3. Step 3: Cross multiply
    149,700.38x = 226,104.75 × 226,104.75
  4. Step 4: Simplify right side
    149,700.38x = 51,123,357,972.56
  5. Step 5: Solve for x
    x = 51,123,357,972.56/149,700.38
  6. Step 6: Final answer
    x = 341,504.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.