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Finding the Third Proportional to 170,792 and 256,738

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Solution

The third proportional to 170,792 and 256,738 is: 385,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,792 : 256,738 = 256,738 : x
  2. Step 2: Convert to fraction form
    170,792/256,738 = 256,738/x
  3. Step 3: Cross multiply
    170,792x = 256,738 × 256,738
  4. Step 4: Simplify right side
    170,792x = 65,914,400,644
  5. Step 5: Solve for x
    x = 65,914,400,644/170,792
  6. Step 6: Final answer
    x = 385,933.77

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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.