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Finding the Third Proportional to 80,492 and 171,378

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Solution

The third proportional to 80,492 and 171,378 is: 364,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492 : 171,378 = 171,378 : x
  2. Step 2: Convert to fraction form
    80,492/171,378 = 171,378/x
  3. Step 3: Cross multiply
    80,492x = 171,378 × 171,378
  4. Step 4: Simplify right side
    80,492x = 29,370,418,884
  5. Step 5: Solve for x
    x = 29,370,418,884/80,492
  6. Step 6: Final answer
    x = 364,886.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.