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Finding the Third Proportional to 267,627.75 and 363,290.25

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Solution

The third proportional to 267,627.75 and 363,290.25 is: 493,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,627.75 : 363,290.25 = 363,290.25 : x
  2. Step 2: Convert to fraction form
    267,627.75/363,290.25 = 363,290.25/x
  3. Step 3: Cross multiply
    267,627.75x = 363,290.25 × 363,290.25
  4. Step 4: Simplify right side
    267,627.75x = 131,979,805,745.06
  5. Step 5: Solve for x
    x = 131,979,805,745.06/267,627.75
  6. Step 6: Final answer
    x = 493,146.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.