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Finding the Third Proportional to 171,434 and 382,612

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Solution

The third proportional to 171,434 and 382,612 is: 853,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,434 : 382,612 = 382,612 : x
  2. Step 2: Convert to fraction form
    171,434/382,612 = 382,612/x
  3. Step 3: Cross multiply
    171,434x = 382,612 × 382,612
  4. Step 4: Simplify right side
    171,434x = 146,391,942,544
  5. Step 5: Solve for x
    x = 146,391,942,544/171,434
  6. Step 6: Final answer
    x = 853,925.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.