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Finding the Third Proportional to 225,697.50 and 331,625.25

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Solution

The third proportional to 225,697.50 and 331,625.25 is: 487,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,697.50 : 331,625.25 = 331,625.25 : x
  2. Step 2: Convert to fraction form
    225,697.50/331,625.25 = 331,625.25/x
  3. Step 3: Cross multiply
    225,697.50x = 331,625.25 × 331,625.25
  4. Step 4: Simplify right side
    225,697.50x = 109,975,306,437.56
  5. Step 5: Solve for x
    x = 109,975,306,437.56/225,697.50
  6. Step 6: Final answer
    x = 487,268.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.