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Finding the Third Proportional to 232,257.50 and 339,424.50

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Solution

The third proportional to 232,257.50 and 339,424.50 is: 496,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,257.50 : 339,424.50 = 339,424.50 : x
  2. Step 2: Convert to fraction form
    232,257.50/339,424.50 = 339,424.50/x
  3. Step 3: Cross multiply
    232,257.50x = 339,424.50 × 339,424.50
  4. Step 4: Simplify right side
    232,257.50x = 115,208,991,200.25
  5. Step 5: Solve for x
    x = 115,208,991,200.25/232,257.50
  6. Step 6: Final answer
    x = 496,039.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.