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Finding the Third Proportional to 129,228.75 and 279,213.75

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Solution

The third proportional to 129,228.75 and 279,213.75 is: 603,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,228.75 : 279,213.75 = 279,213.75 : x
  2. Step 2: Convert to fraction form
    129,228.75/279,213.75 = 279,213.75/x
  3. Step 3: Cross multiply
    129,228.75x = 279,213.75 × 279,213.75
  4. Step 4: Simplify right side
    129,228.75x = 77,960,318,189.06
  5. Step 5: Solve for x
    x = 77,960,318,189.06/129,228.75
  6. Step 6: Final answer
    x = 603,273.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.