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Finding the Third Proportional to 113,838.75 and 248,177.25

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Solution

The third proportional to 113,838.75 and 248,177.25 is: 541,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838.75 : 248,177.25 = 248,177.25 : x
  2. Step 2: Convert to fraction form
    113,838.75/248,177.25 = 248,177.25/x
  3. Step 3: Cross multiply
    113,838.75x = 248,177.25 × 248,177.25
  4. Step 4: Simplify right side
    113,838.75x = 61,591,947,417.56
  5. Step 5: Solve for x
    x = 61,591,947,417.56/113,838.75
  6. Step 6: Final answer
    x = 541,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.