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Finding the Third Proportional to 172,524 and 375,422

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Solution

The third proportional to 172,524 and 375,422 is: 816,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524 : 375,422 = 375,422 : x
  2. Step 2: Convert to fraction form
    172,524/375,422 = 375,422/x
  3. Step 3: Cross multiply
    172,524x = 375,422 × 375,422
  4. Step 4: Simplify right side
    172,524x = 140,941,678,084
  5. Step 5: Solve for x
    x = 140,941,678,084/172,524
  6. Step 6: Final answer
    x = 816,939.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.