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Finding the Third Proportional to 250,987 and 368,110

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Solution

The third proportional to 250,987 and 368,110 is: 539,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,987 : 368,110 = 368,110 : x
  2. Step 2: Convert to fraction form
    250,987/368,110 = 368,110/x
  3. Step 3: Cross multiply
    250,987x = 368,110 × 368,110
  4. Step 4: Simplify right side
    250,987x = 135,504,972,100
  5. Step 5: Solve for x
    x = 135,504,972,100/250,987
  6. Step 6: Final answer
    x = 539,888.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.