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Finding the Third Proportional to 115,175 and 251,626

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Solution

The third proportional to 115,175 and 251,626 is: 549,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,175 : 251,626 = 251,626 : x
  2. Step 2: Convert to fraction form
    115,175/251,626 = 251,626/x
  3. Step 3: Cross multiply
    115,175x = 251,626 × 251,626
  4. Step 4: Simplify right side
    115,175x = 63,315,643,876
  5. Step 5: Solve for x
    x = 63,315,643,876/115,175
  6. Step 6: Final answer
    x = 549,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.