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Finding the Third Proportional to 135,951.74 and 296,278.17

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Solution

The third proportional to 135,951.74 and 296,278.17 is: 645,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,951.74 : 296,278.17 = 296,278.17 : x
  2. Step 2: Convert to fraction form
    135,951.74/296,278.17 = 296,278.17/x
  3. Step 3: Cross multiply
    135,951.74x = 296,278.17 × 296,278.17
  4. Step 4: Simplify right side
    135,951.74x = 87,780,751,223.57
  5. Step 5: Solve for x
    x = 87,780,751,223.57/135,951.74
  6. Step 6: Final answer
    x = 645,675.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.