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Finding the Third Proportional to 144,055.13 and 207,517.78

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Solution

The third proportional to 144,055.13 and 207,517.78 is: 298,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,055.13 : 207,517.78 = 207,517.78 : x
  2. Step 2: Convert to fraction form
    144,055.13/207,517.78 = 207,517.78/x
  3. Step 3: Cross multiply
    144,055.13x = 207,517.78 × 207,517.78
  4. Step 4: Simplify right side
    144,055.13x = 43,063,629,534.92
  5. Step 5: Solve for x
    x = 43,063,629,534.92/144,055.13
  6. Step 6: Final answer
    x = 298,938.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.