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Finding the Third Proportional to 108,319.50 and 233,765.25

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Solution

The third proportional to 108,319.50 and 233,765.25 is: 504,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,319.50 : 233,765.25 = 233,765.25 : x
  2. Step 2: Convert to fraction form
    108,319.50/233,765.25 = 233,765.25/x
  3. Step 3: Cross multiply
    108,319.50x = 233,765.25 × 233,765.25
  4. Step 4: Simplify right side
    108,319.50x = 54,646,192,107.56
  5. Step 5: Solve for x
    x = 54,646,192,107.56/108,319.50
  6. Step 6: Final answer
    x = 504,490.81

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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.