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Finding the Third Proportional to 135,984 and 296,163

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Solution

The third proportional to 135,984 and 296,163 is: 645,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,984 : 296,163 = 296,163 : x
  2. Step 2: Convert to fraction form
    135,984/296,163 = 296,163/x
  3. Step 3: Cross multiply
    135,984x = 296,163 × 296,163
  4. Step 4: Simplify right side
    135,984x = 87,712,522,569
  5. Step 5: Solve for x
    x = 87,712,522,569/135,984
  6. Step 6: Final answer
    x = 645,020.90

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Why These Related Problems?

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