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Finding the Third Proportional to 227,514 and 356,868

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Solution

The third proportional to 227,514 and 356,868 is: 559,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,514 : 356,868 = 356,868 : x
  2. Step 2: Convert to fraction form
    227,514/356,868 = 356,868/x
  3. Step 3: Cross multiply
    227,514x = 356,868 × 356,868
  4. Step 4: Simplify right side
    227,514x = 127,354,769,424
  5. Step 5: Solve for x
    x = 127,354,769,424/227,514
  6. Step 6: Final answer
    x = 559,766.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.