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Finding the Third Proportional to 149,720 and 225,186

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Solution

The third proportional to 149,720 and 225,186 is: 338,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,720 : 225,186 = 225,186 : x
  2. Step 2: Convert to fraction form
    149,720/225,186 = 225,186/x
  3. Step 3: Cross multiply
    149,720x = 225,186 × 225,186
  4. Step 4: Simplify right side
    149,720x = 50,708,734,596
  5. Step 5: Solve for x
    x = 50,708,734,596/149,720
  6. Step 6: Final answer
    x = 338,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.