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Finding the Third Proportional to 69,233 and 151,279

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Solution

The third proportional to 69,233 and 151,279 is: 330,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,233 : 151,279 = 151,279 : x
  2. Step 2: Convert to fraction form
    69,233/151,279 = 151,279/x
  3. Step 3: Cross multiply
    69,233x = 151,279 × 151,279
  4. Step 4: Simplify right side
    69,233x = 22,885,335,841
  5. Step 5: Solve for x
    x = 22,885,335,841/69,233
  6. Step 6: Final answer
    x = 330,555.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.