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Finding the Third Proportional to 80,460 and 171,605.25

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Solution

The third proportional to 80,460 and 171,605.25 is: 366,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,460 : 171,605.25 = 171,605.25 : x
  2. Step 2: Convert to fraction form
    80,460/171,605.25 = 171,605.25/x
  3. Step 3: Cross multiply
    80,460x = 171,605.25 × 171,605.25
  4. Step 4: Simplify right side
    80,460x = 29,448,361,827.56
  5. Step 5: Solve for x
    x = 29,448,361,827.56/80,460
  6. Step 6: Final answer
    x = 366,000.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.