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Finding the Third Proportional to 109,616.25 and 236,151.75

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Solution

The third proportional to 109,616.25 and 236,151.75 is: 508,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.25 : 236,151.75 = 236,151.75 : x
  2. Step 2: Convert to fraction form
    109,616.25/236,151.75 = 236,151.75/x
  3. Step 3: Cross multiply
    109,616.25x = 236,151.75 × 236,151.75
  4. Step 4: Simplify right side
    109,616.25x = 55,767,649,028.06
  5. Step 5: Solve for x
    x = 55,767,649,028.06/109,616.25
  6. Step 6: Final answer
    x = 508,753.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.