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Finding the Third Proportional to 159,782 and 348,163

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Solution

The third proportional to 159,782 and 348,163 is: 758,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782 : 348,163 = 348,163 : x
  2. Step 2: Convert to fraction form
    159,782/348,163 = 348,163/x
  3. Step 3: Cross multiply
    159,782x = 348,163 × 348,163
  4. Step 4: Simplify right side
    159,782x = 121,217,474,569
  5. Step 5: Solve for x
    x = 121,217,474,569/159,782
  6. Step 6: Final answer
    x = 758,642.87

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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.