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Finding the Third Proportional to 108,516.75 and 225,349.50

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Solution

The third proportional to 108,516.75 and 225,349.50 is: 467,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,516.75 : 225,349.50 = 225,349.50 : x
  2. Step 2: Convert to fraction form
    108,516.75/225,349.50 = 225,349.50/x
  3. Step 3: Cross multiply
    108,516.75x = 225,349.50 × 225,349.50
  4. Step 4: Simplify right side
    108,516.75x = 50,782,397,150.25
  5. Step 5: Solve for x
    x = 50,782,397,150.25/108,516.75
  6. Step 6: Final answer
    x = 467,968.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.