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Finding the Third Proportional to 111,542.25 and 243,393

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Solution

The third proportional to 111,542.25 and 243,393 is: 531,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,542.25 : 243,393 = 243,393 : x
  2. Step 2: Convert to fraction form
    111,542.25/243,393 = 243,393/x
  3. Step 3: Cross multiply
    111,542.25x = 243,393 × 243,393
  4. Step 4: Simplify right side
    111,542.25x = 59,240,152,449
  5. Step 5: Solve for x
    x = 59,240,152,449/111,542.25
  6. Step 6: Final answer
    x = 531,100.57

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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.