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Finding the Third Proportional to 104,257.13 and 224,587.69

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Solution

The third proportional to 104,257.13 and 224,587.69 is: 483,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,257.13 : 224,587.69 = 224,587.69 : x
  2. Step 2: Convert to fraction form
    104,257.13/224,587.69 = 224,587.69/x
  3. Step 3: Cross multiply
    104,257.13x = 224,587.69 × 224,587.69
  4. Step 4: Simplify right side
    104,257.13x = 50,439,629,376.60
  5. Step 5: Solve for x
    x = 50,439,629,376.60/104,257.13
  6. Step 6: Final answer
    x = 483,800.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.