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Finding the Third Proportional to 251,982 and 363,069

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Solution

The third proportional to 251,982 and 363,069 is: 523,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,982 : 363,069 = 363,069 : x
  2. Step 2: Convert to fraction form
    251,982/363,069 = 363,069/x
  3. Step 3: Cross multiply
    251,982x = 363,069 × 363,069
  4. Step 4: Simplify right side
    251,982x = 131,819,098,761
  5. Step 5: Solve for x
    x = 131,819,098,761/251,982
  6. Step 6: Final answer
    x = 523,129.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.