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Finding the Third Proportional to 198,291.16 and 407,080.69

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Solution

The third proportional to 198,291.16 and 407,080.69 is: 835,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,291.16 : 407,080.69 = 407,080.69 : x
  2. Step 2: Convert to fraction form
    198,291.16/407,080.69 = 407,080.69/x
  3. Step 3: Cross multiply
    198,291.16x = 407,080.69 × 407,080.69
  4. Step 4: Simplify right side
    198,291.16x = 165,714,686,135.47
  5. Step 5: Solve for x
    x = 165,714,686,135.47/198,291.16
  6. Step 6: Final answer
    x = 835,713.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.