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Finding the Third Proportional to 161,624 and 342,949

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Solution

The third proportional to 161,624 and 342,949 is: 727,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,624 : 342,949 = 342,949 : x
  2. Step 2: Convert to fraction form
    161,624/342,949 = 342,949/x
  3. Step 3: Cross multiply
    161,624x = 342,949 × 342,949
  4. Step 4: Simplify right side
    161,624x = 117,614,016,601
  5. Step 5: Solve for x
    x = 117,614,016,601/161,624
  6. Step 6: Final answer
    x = 727,701.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.