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Finding the Third Proportional to 181,555.17 and 387,816.61

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Solution

The third proportional to 181,555.17 and 387,816.61 is: 828,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,555.17 : 387,816.61 = 387,816.61 : x
  2. Step 2: Convert to fraction form
    181,555.17/387,816.61 = 387,816.61/x
  3. Step 3: Cross multiply
    181,555.17x = 387,816.61 × 387,816.61
  4. Step 4: Simplify right side
    181,555.17x = 150,401,722,507.12
  5. Step 5: Solve for x
    x = 150,401,722,507.12/181,555.17
  6. Step 6: Final answer
    x = 828,407.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.