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Finding the Third Proportional to 226,303.88 and 471,208.50

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Solution

The third proportional to 226,303.88 and 471,208.50 is: 981,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,303.88 : 471,208.50 = 471,208.50 : x
  2. Step 2: Convert to fraction form
    226,303.88/471,208.50 = 471,208.50/x
  3. Step 3: Cross multiply
    226,303.88x = 471,208.50 × 471,208.50
  4. Step 4: Simplify right side
    226,303.88x = 222,037,450,472.25
  5. Step 5: Solve for x
    x = 222,037,450,472.25/226,303.88
  6. Step 6: Final answer
    x = 981,147.36

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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.