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Finding the Third Proportional to 194,713.25 and 420,565.75

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Solution

The third proportional to 194,713.25 and 420,565.75 is: 908,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,713.25 : 420,565.75 = 420,565.75 : x
  2. Step 2: Convert to fraction form
    194,713.25/420,565.75 = 420,565.75/x
  3. Step 3: Cross multiply
    194,713.25x = 420,565.75 × 420,565.75
  4. Step 4: Simplify right side
    194,713.25x = 176,875,550,073.06
  5. Step 5: Solve for x
    x = 176,875,550,073.06/194,713.25
  6. Step 6: Final answer
    x = 908,389.90

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