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Finding the Third Proportional to 117,876.75 and 241,200.75

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Solution

The third proportional to 117,876.75 and 241,200.75 is: 493,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,876.75 : 241,200.75 = 241,200.75 : x
  2. Step 2: Convert to fraction form
    117,876.75/241,200.75 = 241,200.75/x
  3. Step 3: Cross multiply
    117,876.75x = 241,200.75 × 241,200.75
  4. Step 4: Simplify right side
    117,876.75x = 58,177,801,800.56
  5. Step 5: Solve for x
    x = 58,177,801,800.56/117,876.75
  6. Step 6: Final answer
    x = 493,547.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.