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Finding the Third Proportional to 165,983 and 251,481

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Solution

The third proportional to 165,983 and 251,481 is: 381,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,983 : 251,481 = 251,481 : x
  2. Step 2: Convert to fraction form
    165,983/251,481 = 251,481/x
  3. Step 3: Cross multiply
    165,983x = 251,481 × 251,481
  4. Step 4: Simplify right side
    165,983x = 63,242,693,361
  5. Step 5: Solve for x
    x = 63,242,693,361/165,983
  6. Step 6: Final answer
    x = 381,019.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.