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Finding the Third Proportional to 149,131.13 and 225,868.50

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Solution

The third proportional to 149,131.13 and 225,868.50 is: 342,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,131.13 : 225,868.50 = 225,868.50 : x
  2. Step 2: Convert to fraction form
    149,131.13/225,868.50 = 225,868.50/x
  3. Step 3: Cross multiply
    149,131.13x = 225,868.50 × 225,868.50
  4. Step 4: Simplify right side
    149,131.13x = 51,016,579,292.25
  5. Step 5: Solve for x
    x = 51,016,579,292.25/149,131.13
  6. Step 6: Final answer
    x = 342,092.10

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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.