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Finding the Third Proportional to 218,391.50 and 339,251.50

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Solution

The third proportional to 218,391.50 and 339,251.50 is: 526,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,391.50 : 339,251.50 = 339,251.50 : x
  2. Step 2: Convert to fraction form
    218,391.50/339,251.50 = 339,251.50/x
  3. Step 3: Cross multiply
    218,391.50x = 339,251.50 × 339,251.50
  4. Step 4: Simplify right side
    218,391.50x = 115,091,580,252.25
  5. Step 5: Solve for x
    x = 115,091,580,252.25/218,391.50
  6. Step 6: Final answer
    x = 526,996.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.