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Finding the Third Proportional to 181,750.13 and 399,595.69

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Solution

The third proportional to 181,750.13 and 399,595.69 is: 878,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,750.13 : 399,595.69 = 399,595.69 : x
  2. Step 2: Convert to fraction form
    181,750.13/399,595.69 = 399,595.69/x
  3. Step 3: Cross multiply
    181,750.13x = 399,595.69 × 399,595.69
  4. Step 4: Simplify right side
    181,750.13x = 159,676,713,468.60
  5. Step 5: Solve for x
    x = 159,676,713,468.60/181,750.13
  6. Step 6: Final answer
    x = 878,550.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.