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Finding the Third Proportional to 170,269 and 256,699

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Solution

The third proportional to 170,269 and 256,699 is: 387,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,269 : 256,699 = 256,699 : x
  2. Step 2: Convert to fraction form
    170,269/256,699 = 256,699/x
  3. Step 3: Cross multiply
    170,269x = 256,699 × 256,699
  4. Step 4: Simplify right side
    170,269x = 65,894,376,601
  5. Step 5: Solve for x
    x = 65,894,376,601/170,269
  6. Step 6: Final answer
    x = 387,001.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.