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Finding the Third Proportional to 107,244.75 and 228,738.75

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Solution

The third proportional to 107,244.75 and 228,738.75 is: 487,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,244.75 : 228,738.75 = 228,738.75 : x
  2. Step 2: Convert to fraction form
    107,244.75/228,738.75 = 228,738.75/x
  3. Step 3: Cross multiply
    107,244.75x = 228,738.75 × 228,738.75
  4. Step 4: Simplify right side
    107,244.75x = 52,321,415,751.56
  5. Step 5: Solve for x
    x = 52,321,415,751.56/107,244.75
  6. Step 6: Final answer
    x = 487,869.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.