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Finding the Third Proportional to 117,703.50 and 241,608.75

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Solution

The third proportional to 117,703.50 and 241,608.75 is: 495,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,703.50 : 241,608.75 = 241,608.75 : x
  2. Step 2: Convert to fraction form
    117,703.50/241,608.75 = 241,608.75/x
  3. Step 3: Cross multiply
    117,703.50x = 241,608.75 × 241,608.75
  4. Step 4: Simplify right side
    117,703.50x = 58,374,788,076.56
  5. Step 5: Solve for x
    x = 58,374,788,076.56/117,703.50
  6. Step 6: Final answer
    x = 495,947.77

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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.