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Finding the Third Proportional to 191,799 and 283,982

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Solution

The third proportional to 191,799 and 283,982 is: 420,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,799 : 283,982 = 283,982 : x
  2. Step 2: Convert to fraction form
    191,799/283,982 = 283,982/x
  3. Step 3: Cross multiply
    191,799x = 283,982 × 283,982
  4. Step 4: Simplify right side
    191,799x = 80,645,776,324
  5. Step 5: Solve for x
    x = 80,645,776,324/191,799
  6. Step 6: Final answer
    x = 420,470.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.