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Finding the Third Proportional to 198,406.13 and 299,397.94

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Solution

The third proportional to 198,406.13 and 299,397.94 is: 451,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,406.13 : 299,397.94 = 299,397.94 : x
  2. Step 2: Convert to fraction form
    198,406.13/299,397.94 = 299,397.94/x
  3. Step 3: Cross multiply
    198,406.13x = 299,397.94 × 299,397.94
  4. Step 4: Simplify right side
    198,406.13x = 89,639,124,979.25
  5. Step 5: Solve for x
    x = 89,639,124,979.25/198,406.13
  6. Step 6: Final answer
    x = 451,796.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.