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Finding the Third Proportional to 149,119.13 and 225,850.50

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Solution

The third proportional to 149,119.13 and 225,850.50 is: 342,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,119.13 : 225,850.50 = 225,850.50 : x
  2. Step 2: Convert to fraction form
    149,119.13/225,850.50 = 225,850.50/x
  3. Step 3: Cross multiply
    149,119.13x = 225,850.50 × 225,850.50
  4. Step 4: Simplify right side
    149,119.13x = 51,008,448,350.25
  5. Step 5: Solve for x
    x = 51,008,448,350.25/149,119.13
  6. Step 6: Final answer
    x = 342,065.10

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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.