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Finding the Third Proportional to 170,722 and 258,431

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Solution

The third proportional to 170,722 and 258,431 is: 391,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,722 : 258,431 = 258,431 : x
  2. Step 2: Convert to fraction form
    170,722/258,431 = 258,431/x
  3. Step 3: Cross multiply
    170,722x = 258,431 × 258,431
  4. Step 4: Simplify right side
    170,722x = 66,786,581,761
  5. Step 5: Solve for x
    x = 66,786,581,761/170,722
  6. Step 6: Final answer
    x = 391,200.79

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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.