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Finding the Third Proportional to 198,470.25 and 299,550.66

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Solution

The third proportional to 198,470.25 and 299,550.66 is: 452,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.25 : 299,550.66 = 299,550.66 : x
  2. Step 2: Convert to fraction form
    198,470.25/299,550.66 = 299,550.66/x
  3. Step 3: Cross multiply
    198,470.25x = 299,550.66 × 299,550.66
  4. Step 4: Simplify right side
    198,470.25x = 89,730,595,659.81
  5. Step 5: Solve for x
    x = 89,730,595,659.81/198,470.25
  6. Step 6: Final answer
    x = 452,111.06

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Why These Related Problems?

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