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Finding the Third Proportional to 105,327.25 and 225,416.75

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Solution

The third proportional to 105,327.25 and 225,416.75 is: 482,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,327.25 : 225,416.75 = 225,416.75 : x
  2. Step 2: Convert to fraction form
    105,327.25/225,416.75 = 225,416.75/x
  3. Step 3: Cross multiply
    105,327.25x = 225,416.75 × 225,416.75
  4. Step 4: Simplify right side
    105,327.25x = 50,812,711,180.56
  5. Step 5: Solve for x
    x = 50,812,711,180.56/105,327.25
  6. Step 6: Final answer
    x = 482,427.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.