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Finding the Third Proportional to 224,592.75 and 330,309.56

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Solution

The third proportional to 224,592.75 and 330,309.56 is: 485,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,592.75 : 330,309.56 = 330,309.56 : x
  2. Step 2: Convert to fraction form
    224,592.75/330,309.56 = 330,309.56/x
  3. Step 3: Cross multiply
    224,592.75x = 330,309.56 × 330,309.56
  4. Step 4: Simplify right side
    224,592.75x = 109,104,407,078.94
  5. Step 5: Solve for x
    x = 109,104,407,078.94/224,592.75
  6. Step 6: Final answer
    x = 485,787.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.