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Finding the Third Proportional to 132,944 and 285,376

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Solution

The third proportional to 132,944 and 285,376 is: 612,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,944 : 285,376 = 285,376 : x
  2. Step 2: Convert to fraction form
    132,944/285,376 = 285,376/x
  3. Step 3: Cross multiply
    132,944x = 285,376 × 285,376
  4. Step 4: Simplify right side
    132,944x = 81,439,461,376
  5. Step 5: Solve for x
    x = 81,439,461,376/132,944
  6. Step 6: Final answer
    x = 612,584.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.