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Finding the Third Proportional to 170,234 and 361,988

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Solution

The third proportional to 170,234 and 361,988 is: 769,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,234 : 361,988 = 361,988 : x
  2. Step 2: Convert to fraction form
    170,234/361,988 = 361,988/x
  3. Step 3: Cross multiply
    170,234x = 361,988 × 361,988
  4. Step 4: Simplify right side
    170,234x = 131,035,312,144
  5. Step 5: Solve for x
    x = 131,035,312,144/170,234
  6. Step 6: Final answer
    x = 769,736.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.