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Finding the Third Proportional to 233,295.75 and 337,205.25

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Solution

The third proportional to 233,295.75 and 337,205.25 is: 487,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 337,205.25 = 337,205.25 : x
  2. Step 2: Convert to fraction form
    233,295.75/337,205.25 = 337,205.25/x
  3. Step 3: Cross multiply
    233,295.75x = 337,205.25 × 337,205.25
  4. Step 4: Simplify right side
    233,295.75x = 113,707,380,627.56
  5. Step 5: Solve for x
    x = 113,707,380,627.56/233,295.75
  6. Step 6: Final answer
    x = 487,395.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.