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Finding the Third Proportional to 156,982 and 240,189

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Solution

The third proportional to 156,982 and 240,189 is: 367,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 240,189 = 240,189 : x
  2. Step 2: Convert to fraction form
    156,982/240,189 = 240,189/x
  3. Step 3: Cross multiply
    156,982x = 240,189 × 240,189
  4. Step 4: Simplify right side
    156,982x = 57,690,755,721
  5. Step 5: Solve for x
    x = 57,690,755,721/156,982
  6. Step 6: Final answer
    x = 367,499.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.