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Finding the Third Proportional to 175,771 and 376,452

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Solution

The third proportional to 175,771 and 376,452 is: 806,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,771 : 376,452 = 376,452 : x
  2. Step 2: Convert to fraction form
    175,771/376,452 = 376,452/x
  3. Step 3: Cross multiply
    175,771x = 376,452 × 376,452
  4. Step 4: Simplify right side
    175,771x = 141,716,108,304
  5. Step 5: Solve for x
    x = 141,716,108,304/175,771
  6. Step 6: Final answer
    x = 806,254.21

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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.