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Finding the Third Proportional to 150,412 and 225,650

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Solution

The third proportional to 150,412 and 225,650 is: 338,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412 : 225,650 = 225,650 : x
  2. Step 2: Convert to fraction form
    150,412/225,650 = 225,650/x
  3. Step 3: Cross multiply
    150,412x = 225,650 × 225,650
  4. Step 4: Simplify right side
    150,412x = 50,917,922,500
  5. Step 5: Solve for x
    x = 50,917,922,500/150,412
  6. Step 6: Final answer
    x = 338,523.01

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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.