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Finding the Third Proportional to 171,444 and 382,632

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Solution

The third proportional to 171,444 and 382,632 is: 853,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,444 : 382,632 = 382,632 : x
  2. Step 2: Convert to fraction form
    171,444/382,632 = 382,632/x
  3. Step 3: Cross multiply
    171,444x = 382,632 × 382,632
  4. Step 4: Simplify right side
    171,444x = 146,407,247,424
  5. Step 5: Solve for x
    x = 146,407,247,424/171,444
  6. Step 6: Final answer
    x = 853,965.42

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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.