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Finding the Third Proportional to 150,411.38 and 225,650.25

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Solution

The third proportional to 150,411.38 and 225,650.25 is: 338,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.38 : 225,650.25 = 225,650.25 : x
  2. Step 2: Convert to fraction form
    150,411.38/225,650.25 = 225,650.25/x
  3. Step 3: Cross multiply
    150,411.38x = 225,650.25 × 225,650.25
  4. Step 4: Simplify right side
    150,411.38x = 50,918,035,325.06
  5. Step 5: Solve for x
    x = 50,918,035,325.06/150,411.38
  6. Step 6: Final answer
    x = 338,525.16

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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.