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Finding the Third Proportional to 224,240.25 and 347,568.75

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Solution

The third proportional to 224,240.25 and 347,568.75 is: 538,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,240.25 : 347,568.75 = 347,568.75 : x
  2. Step 2: Convert to fraction form
    224,240.25/347,568.75 = 347,568.75/x
  3. Step 3: Cross multiply
    224,240.25x = 347,568.75 × 347,568.75
  4. Step 4: Simplify right side
    224,240.25x = 120,804,035,976.56
  5. Step 5: Solve for x
    x = 120,804,035,976.56/224,240.25
  6. Step 6: Final answer
    x = 538,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.