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Finding the Third Proportional to 161,874 and 355,644

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Solution

The third proportional to 161,874 and 355,644 is: 781,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,874 : 355,644 = 355,644 : x
  2. Step 2: Convert to fraction form
    161,874/355,644 = 355,644/x
  3. Step 3: Cross multiply
    161,874x = 355,644 × 355,644
  4. Step 4: Simplify right side
    161,874x = 126,482,654,736
  5. Step 5: Solve for x
    x = 126,482,654,736/161,874
  6. Step 6: Final answer
    x = 781,364.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.