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Finding the Third Proportional to 150,417 and 225,658

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Solution

The third proportional to 150,417 and 225,658 is: 338,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,417 : 225,658 = 225,658 : x
  2. Step 2: Convert to fraction form
    150,417/225,658 = 225,658/x
  3. Step 3: Cross multiply
    150,417x = 225,658 × 225,658
  4. Step 4: Simplify right side
    150,417x = 50,921,532,964
  5. Step 5: Solve for x
    x = 50,921,532,964/150,417
  6. Step 6: Final answer
    x = 338,535.76

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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.