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Finding the Third Proportional to 170,755 and 256,682

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Solution

The third proportional to 170,755 and 256,682 is: 385,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,755 : 256,682 = 256,682 : x
  2. Step 2: Convert to fraction form
    170,755/256,682 = 256,682/x
  3. Step 3: Cross multiply
    170,755x = 256,682 × 256,682
  4. Step 4: Simplify right side
    170,755x = 65,885,649,124
  5. Step 5: Solve for x
    x = 65,885,649,124/170,755
  6. Step 6: Final answer
    x = 385,849.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.