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Finding the Third Proportional to 119,649 and 251,692

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Solution

The third proportional to 119,649 and 251,692 is: 529,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649 : 251,692 = 251,692 : x
  2. Step 2: Convert to fraction form
    119,649/251,692 = 251,692/x
  3. Step 3: Cross multiply
    119,649x = 251,692 × 251,692
  4. Step 4: Simplify right side
    119,649x = 63,348,862,864
  5. Step 5: Solve for x
    x = 63,348,862,864/119,649
  6. Step 6: Final answer
    x = 529,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.