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Finding the Third Proportional to 132,995 and 284,422

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Solution

The third proportional to 132,995 and 284,422 is: 608,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,995 : 284,422 = 284,422 : x
  2. Step 2: Convert to fraction form
    132,995/284,422 = 284,422/x
  3. Step 3: Cross multiply
    132,995x = 284,422 × 284,422
  4. Step 4: Simplify right side
    132,995x = 80,895,874,084
  5. Step 5: Solve for x
    x = 80,895,874,084/132,995
  6. Step 6: Final answer
    x = 608,262.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.