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Finding the Third Proportional to 108,321.75 and 233,772.75

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Solution

The third proportional to 108,321.75 and 233,772.75 is: 504,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,321.75 : 233,772.75 = 233,772.75 : x
  2. Step 2: Convert to fraction form
    108,321.75/233,772.75 = 233,772.75/x
  3. Step 3: Cross multiply
    108,321.75x = 233,772.75 × 233,772.75
  4. Step 4: Simplify right side
    108,321.75x = 54,649,698,642.56
  5. Step 5: Solve for x
    x = 54,649,698,642.56/108,321.75
  6. Step 6: Final answer
    x = 504,512.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.