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Finding the Third Proportional to 168,984 and 371,016

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Solution

The third proportional to 168,984 and 371,016 is: 814,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,984 : 371,016 = 371,016 : x
  2. Step 2: Convert to fraction form
    168,984/371,016 = 371,016/x
  3. Step 3: Cross multiply
    168,984x = 371,016 × 371,016
  4. Step 4: Simplify right side
    168,984x = 137,652,872,256
  5. Step 5: Solve for x
    x = 137,652,872,256/168,984
  6. Step 6: Final answer
    x = 814,591.16

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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.