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Finding the Third Proportional to 236,350.50 and 339,762

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Solution

The third proportional to 236,350.50 and 339,762 is: 488,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,350.50 : 339,762 = 339,762 : x
  2. Step 2: Convert to fraction form
    236,350.50/339,762 = 339,762/x
  3. Step 3: Cross multiply
    236,350.50x = 339,762 × 339,762
  4. Step 4: Simplify right side
    236,350.50x = 115,438,216,644
  5. Step 5: Solve for x
    x = 115,438,216,644/236,350.50
  6. Step 6: Final answer
    x = 488,419.60

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.