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Finding the Third Proportional to 203,500 and 442,031

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Solution

The third proportional to 203,500 and 442,031 is: 960,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,500 : 442,031 = 442,031 : x
  2. Step 2: Convert to fraction form
    203,500/442,031 = 442,031/x
  3. Step 3: Cross multiply
    203,500x = 442,031 × 442,031
  4. Step 4: Simplify right side
    203,500x = 195,391,404,961
  5. Step 5: Solve for x
    x = 195,391,404,961/203,500
  6. Step 6: Final answer
    x = 960,154.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.