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Finding the Third Proportional to 137,332.97 and 300,849.19

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Solution

The third proportional to 137,332.97 and 300,849.19 is: 659,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,332.97 : 300,849.19 = 300,849.19 : x
  2. Step 2: Convert to fraction form
    137,332.97/300,849.19 = 300,849.19/x
  3. Step 3: Cross multiply
    137,332.97x = 300,849.19 × 300,849.19
  4. Step 4: Simplify right side
    137,332.97x = 90,510,233,619.41
  5. Step 5: Solve for x
    x = 90,510,233,619.41/137,332.97
  6. Step 6: Final answer
    x = 659,056.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.