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Finding the Third Proportional to 74,338 and 158,279

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Solution

The third proportional to 74,338 and 158,279 is: 337,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,338 : 158,279 = 158,279 : x
  2. Step 2: Convert to fraction form
    74,338/158,279 = 158,279/x
  3. Step 3: Cross multiply
    74,338x = 158,279 × 158,279
  4. Step 4: Simplify right side
    74,338x = 25,052,241,841
  5. Step 5: Solve for x
    x = 25,052,241,841/74,338
  6. Step 6: Final answer
    x = 337,004.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.