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Finding the Third Proportional to 226,354.50 and 441,181.69

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Solution

The third proportional to 226,354.50 and 441,181.69 is: 859,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,354.50 : 441,181.69 = 441,181.69 : x
  2. Step 2: Convert to fraction form
    226,354.50/441,181.69 = 441,181.69/x
  3. Step 3: Cross multiply
    226,354.50x = 441,181.69 × 441,181.69
  4. Step 4: Simplify right side
    226,354.50x = 194,641,281,385.35
  5. Step 5: Solve for x
    x = 194,641,281,385.35/226,354.50
  6. Step 6: Final answer
    x = 859,895.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.