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Finding the Third Proportional to 147,771 and 222,751

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Solution

The third proportional to 147,771 and 222,751 is: 335,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,771 : 222,751 = 222,751 : x
  2. Step 2: Convert to fraction form
    147,771/222,751 = 222,751/x
  3. Step 3: Cross multiply
    147,771x = 222,751 × 222,751
  4. Step 4: Simplify right side
    147,771x = 49,618,008,001
  5. Step 5: Solve for x
    x = 49,618,008,001/147,771
  6. Step 6: Final answer
    x = 335,776.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.