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Finding the Third Proportional to 117,778.50 and 244,629

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Solution

The third proportional to 117,778.50 and 244,629 is: 508,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,778.50 : 244,629 = 244,629 : x
  2. Step 2: Convert to fraction form
    117,778.50/244,629 = 244,629/x
  3. Step 3: Cross multiply
    117,778.50x = 244,629 × 244,629
  4. Step 4: Simplify right side
    117,778.50x = 59,843,347,641
  5. Step 5: Solve for x
    x = 59,843,347,641/117,778.50
  6. Step 6: Final answer
    x = 508,100.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.