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Finding the Third Proportional to 131,692 and 284,442

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Solution

The third proportional to 131,692 and 284,442 is: 614,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692 : 284,442 = 284,442 : x
  2. Step 2: Convert to fraction form
    131,692/284,442 = 284,442/x
  3. Step 3: Cross multiply
    131,692x = 284,442 × 284,442
  4. Step 4: Simplify right side
    131,692x = 80,907,251,364
  5. Step 5: Solve for x
    x = 80,907,251,364/131,692
  6. Step 6: Final answer
    x = 614,367.25

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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.