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Finding the Third Proportional to 181,560.38 and 387,829.13

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Solution

The third proportional to 181,560.38 and 387,829.13 is: 828,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,560.38 : 387,829.13 = 387,829.13 : x
  2. Step 2: Convert to fraction form
    181,560.38/387,829.13 = 387,829.13/x
  3. Step 3: Cross multiply
    181,560.38x = 387,829.13 × 387,829.13
  4. Step 4: Simplify right side
    181,560.38x = 150,411,430,198.27
  5. Step 5: Solve for x
    x = 150,411,430,198.27/181,560.38
  6. Step 6: Final answer
    x = 828,437.54

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Why These Related Problems?

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