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Finding the Third Proportional to 115,734 and 253,626

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Solution

The third proportional to 115,734 and 253,626 is: 555,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,734 : 253,626 = 253,626 : x
  2. Step 2: Convert to fraction form
    115,734/253,626 = 253,626/x
  3. Step 3: Cross multiply
    115,734x = 253,626 × 253,626
  4. Step 4: Simplify right side
    115,734x = 64,326,147,876
  5. Step 5: Solve for x
    x = 64,326,147,876/115,734
  6. Step 6: Final answer
    x = 555,810.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.