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Finding the Third Proportional to 111,314.25 and 247,542.75

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Solution

The third proportional to 111,314.25 and 247,542.75 is: 550,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,314.25 : 247,542.75 = 247,542.75 : x
  2. Step 2: Convert to fraction form
    111,314.25/247,542.75 = 247,542.75/x
  3. Step 3: Cross multiply
    111,314.25x = 247,542.75 × 247,542.75
  4. Step 4: Simplify right side
    111,314.25x = 61,277,413,077.56
  5. Step 5: Solve for x
    x = 61,277,413,077.56/111,314.25
  6. Step 6: Final answer
    x = 550,490.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.