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Finding the Third Proportional to 151,814 and 226,873

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Solution

The third proportional to 151,814 and 226,873 is: 339,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,814 : 226,873 = 226,873 : x
  2. Step 2: Convert to fraction form
    151,814/226,873 = 226,873/x
  3. Step 3: Cross multiply
    151,814x = 226,873 × 226,873
  4. Step 4: Simplify right side
    151,814x = 51,471,358,129
  5. Step 5: Solve for x
    x = 51,471,358,129/151,814
  6. Step 6: Final answer
    x = 339,042.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.