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Finding the Third Proportional to 149,472 and 225,360

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Solution

The third proportional to 149,472 and 225,360 is: 339,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472 : 225,360 = 225,360 : x
  2. Step 2: Convert to fraction form
    149,472/225,360 = 225,360/x
  3. Step 3: Cross multiply
    149,472x = 225,360 × 225,360
  4. Step 4: Simplify right side
    149,472x = 50,787,129,600
  5. Step 5: Solve for x
    x = 50,787,129,600/149,472
  6. Step 6: Final answer
    x = 339,776.88

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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.