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Finding the Third Proportional to 226,320 and 471,236

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Solution

The third proportional to 226,320 and 471,236 is: 981,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,320 : 471,236 = 471,236 : x
  2. Step 2: Convert to fraction form
    226,320/471,236 = 471,236/x
  3. Step 3: Cross multiply
    226,320x = 471,236 × 471,236
  4. Step 4: Simplify right side
    226,320x = 222,063,367,696
  5. Step 5: Solve for x
    x = 222,063,367,696/226,320
  6. Step 6: Final answer
    x = 981,191.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.