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Finding the Third Proportional to 172,524 and 375,423

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Solution

The third proportional to 172,524 and 375,423 is: 816,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524 : 375,423 = 375,423 : x
  2. Step 2: Convert to fraction form
    172,524/375,423 = 375,423/x
  3. Step 3: Cross multiply
    172,524x = 375,423 × 375,423
  4. Step 4: Simplify right side
    172,524x = 140,942,428,929
  5. Step 5: Solve for x
    x = 140,942,428,929/172,524
  6. Step 6: Final answer
    x = 816,943.90

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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.