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Finding the Third Proportional to 110,144.25 and 229,785.75

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Solution

The third proportional to 110,144.25 and 229,785.75 is: 479,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144.25 : 229,785.75 = 229,785.75 : x
  2. Step 2: Convert to fraction form
    110,144.25/229,785.75 = 229,785.75/x
  3. Step 3: Cross multiply
    110,144.25x = 229,785.75 × 229,785.75
  4. Step 4: Simplify right side
    110,144.25x = 52,801,490,903.06
  5. Step 5: Solve for x
    x = 52,801,490,903.06/110,144.25
  6. Step 6: Final answer
    x = 479,384.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.