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Finding the Third Proportional to 150,417 and 225,655.88

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Solution

The third proportional to 150,417 and 225,655.88 is: 338,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,417 : 225,655.88 = 225,655.88 : x
  2. Step 2: Convert to fraction form
    150,417/225,655.88 = 225,655.88/x
  3. Step 3: Cross multiply
    150,417x = 225,655.88 × 225,655.88
  4. Step 4: Simplify right side
    150,417x = 50,920,573,922.02
  5. Step 5: Solve for x
    x = 50,920,573,922.02/150,417
  6. Step 6: Final answer
    x = 338,529.38

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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.