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Finding the Third Proportional to 195,982 and 429,325

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Solution

The third proportional to 195,982 and 429,325 is: 940,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,982 : 429,325 = 429,325 : x
  2. Step 2: Convert to fraction form
    195,982/429,325 = 429,325/x
  3. Step 3: Cross multiply
    195,982x = 429,325 × 429,325
  4. Step 4: Simplify right side
    195,982x = 184,319,955,625
  5. Step 5: Solve for x
    x = 184,319,955,625/195,982
  6. Step 6: Final answer
    x = 940,494.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.