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Finding the Third Proportional to 194,713.88 and 420,565.92

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Solution

The third proportional to 194,713.88 and 420,565.92 is: 908,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,713.88 : 420,565.92 = 420,565.92 : x
  2. Step 2: Convert to fraction form
    194,713.88/420,565.92 = 420,565.92/x
  3. Step 3: Cross multiply
    194,713.88x = 420,565.92 × 420,565.92
  4. Step 4: Simplify right side
    194,713.88x = 176,875,694,642.57
  5. Step 5: Solve for x
    x = 176,875,694,642.57/194,713.88
  6. Step 6: Final answer
    x = 908,387.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.