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Finding the Third Proportional to 230,229 and 471,868.88

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Solution

The third proportional to 230,229 and 471,868.88 is: 967,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,229 : 471,868.88 = 471,868.88 : x
  2. Step 2: Convert to fraction form
    230,229/471,868.88 = 471,868.88/x
  3. Step 3: Cross multiply
    230,229x = 471,868.88 × 471,868.88
  4. Step 4: Simplify right side
    230,229x = 222,660,235,193.77
  5. Step 5: Solve for x
    x = 222,660,235,193.77/230,229
  6. Step 6: Final answer
    x = 967,125.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.