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Finding the Third Proportional to 226,301 and 471,196

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Solution

The third proportional to 226,301 and 471,196 is: 981,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,301 : 471,196 = 471,196 : x
  2. Step 2: Convert to fraction form
    226,301/471,196 = 471,196/x
  3. Step 3: Cross multiply
    226,301x = 471,196 × 471,196
  4. Step 4: Simplify right side
    226,301x = 222,025,670,416
  5. Step 5: Solve for x
    x = 222,025,670,416/226,301
  6. Step 6: Final answer
    x = 981,107.77

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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.