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Finding the Third Proportional to 226,050.75 and 307,842.19

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Solution

The third proportional to 226,050.75 and 307,842.19 is: 419,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050.75 : 307,842.19 = 307,842.19 : x
  2. Step 2: Convert to fraction form
    226,050.75/307,842.19 = 307,842.19/x
  3. Step 3: Cross multiply
    226,050.75x = 307,842.19 × 307,842.19
  4. Step 4: Simplify right side
    226,050.75x = 94,766,812,404.79
  5. Step 5: Solve for x
    x = 94,766,812,404.79/226,050.75
  6. Step 6: Final answer
    x = 419,228.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.