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Finding the Third Proportional to 170,186.06 and 225,753.75

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Solution

The third proportional to 170,186.06 and 225,753.75 is: 299,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,186.06 : 225,753.75 = 225,753.75 : x
  2. Step 2: Convert to fraction form
    170,186.06/225,753.75 = 225,753.75/x
  3. Step 3: Cross multiply
    170,186.06x = 225,753.75 × 225,753.75
  4. Step 4: Simplify right side
    170,186.06x = 50,964,755,639.06
  5. Step 5: Solve for x
    x = 50,964,755,639.06/170,186.06
  6. Step 6: Final answer
    x = 299,464.92

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.