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Finding the Third Proportional to 81,474 and 170,734.50

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Solution

The third proportional to 81,474 and 170,734.50 is: 357,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474 : 170,734.50 = 170,734.50 : x
  2. Step 2: Convert to fraction form
    81,474/170,734.50 = 170,734.50/x
  3. Step 3: Cross multiply
    81,474x = 170,734.50 × 170,734.50
  4. Step 4: Simplify right side
    81,474x = 29,150,269,490.25
  5. Step 5: Solve for x
    x = 29,150,269,490.25/81,474
  6. Step 6: Final answer
    x = 357,786.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.