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Finding the Third Proportional to 150,306 and 225,045

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Solution

The third proportional to 150,306 and 225,045 is: 336,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,306 : 225,045 = 225,045 : x
  2. Step 2: Convert to fraction form
    150,306/225,045 = 225,045/x
  3. Step 3: Cross multiply
    150,306x = 225,045 × 225,045
  4. Step 4: Simplify right side
    150,306x = 50,645,252,025
  5. Step 5: Solve for x
    x = 50,645,252,025/150,306
  6. Step 6: Final answer
    x = 336,947.64

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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.