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Finding the Third Proportional to 229,908.38 and 290,882.39

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Solution

The third proportional to 229,908.38 and 290,882.39 is: 368,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,908.38 : 290,882.39 = 290,882.39 : x
  2. Step 2: Convert to fraction form
    229,908.38/290,882.39 = 290,882.39/x
  3. Step 3: Cross multiply
    229,908.38x = 290,882.39 × 290,882.39
  4. Step 4: Simplify right side
    229,908.38x = 84,612,565,175.72
  5. Step 5: Solve for x
    x = 84,612,565,175.72/229,908.38
  6. Step 6: Final answer
    x = 368,027.33

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.