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Finding the Third Proportional to 226,363.50 and 471,321

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Solution

The third proportional to 226,363.50 and 471,321 is: 981,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,363.50 : 471,321 = 471,321 : x
  2. Step 2: Convert to fraction form
    226,363.50/471,321 = 471,321/x
  3. Step 3: Cross multiply
    226,363.50x = 471,321 × 471,321
  4. Step 4: Simplify right side
    226,363.50x = 222,143,485,041
  5. Step 5: Solve for x
    x = 222,143,485,041/226,363.50
  6. Step 6: Final answer
    x = 981,357.35

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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.