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Finding the Third Proportional to 226,370.25 and 471,303

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Solution

The third proportional to 226,370.25 and 471,303 is: 981,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,370.25 : 471,303 = 471,303 : x
  2. Step 2: Convert to fraction form
    226,370.25/471,303 = 471,303/x
  3. Step 3: Cross multiply
    226,370.25x = 471,303 × 471,303
  4. Step 4: Simplify right side
    226,370.25x = 222,126,517,809
  5. Step 5: Solve for x
    x = 222,126,517,809/226,370.25
  6. Step 6: Final answer
    x = 981,253.14

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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.