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Finding the Third Proportional to 158,067 and 243,675

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Solution

The third proportional to 158,067 and 243,675 is: 375,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,067 : 243,675 = 243,675 : x
  2. Step 2: Convert to fraction form
    158,067/243,675 = 243,675/x
  3. Step 3: Cross multiply
    158,067x = 243,675 × 243,675
  4. Step 4: Simplify right side
    158,067x = 59,377,505,625
  5. Step 5: Solve for x
    x = 59,377,505,625/158,067
  6. Step 6: Final answer
    x = 375,647.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.