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Finding the Third Proportional to 149,123.25 and 225,857.25

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Solution

The third proportional to 149,123.25 and 225,857.25 is: 342,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,123.25 : 225,857.25 = 225,857.25 : x
  2. Step 2: Convert to fraction form
    149,123.25/225,857.25 = 225,857.25/x
  3. Step 3: Cross multiply
    149,123.25x = 225,857.25 × 225,857.25
  4. Step 4: Simplify right side
    149,123.25x = 51,011,497,377.56
  5. Step 5: Solve for x
    x = 51,011,497,377.56/149,123.25
  6. Step 6: Final answer
    x = 342,076.08

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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.