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Finding the Third Proportional to 103,280.25 and 225,513.75

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Solution

The third proportional to 103,280.25 and 225,513.75 is: 492,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,280.25 : 225,513.75 = 225,513.75 : x
  2. Step 2: Convert to fraction form
    103,280.25/225,513.75 = 225,513.75/x
  3. Step 3: Cross multiply
    103,280.25x = 225,513.75 × 225,513.75
  4. Step 4: Simplify right side
    103,280.25x = 50,856,451,439.06
  5. Step 5: Solve for x
    x = 50,856,451,439.06/103,280.25
  6. Step 6: Final answer
    x = 492,412.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.