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Finding the Third Proportional to 132,284 and 285,302

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Solution

The third proportional to 132,284 and 285,302 is: 615,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,284 : 285,302 = 285,302 : x
  2. Step 2: Convert to fraction form
    132,284/285,302 = 285,302/x
  3. Step 3: Cross multiply
    132,284x = 285,302 × 285,302
  4. Step 4: Simplify right side
    132,284x = 81,397,231,204
  5. Step 5: Solve for x
    x = 81,397,231,204/132,284
  6. Step 6: Final answer
    x = 615,321.82

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Why These Related Problems?

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