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Finding the Third Proportional to 140,584.50 and 214,359.75

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Solution

The third proportional to 140,584.50 and 214,359.75 is: 326,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,584.50 : 214,359.75 = 214,359.75 : x
  2. Step 2: Convert to fraction form
    140,584.50/214,359.75 = 214,359.75/x
  3. Step 3: Cross multiply
    140,584.50x = 214,359.75 × 214,359.75
  4. Step 4: Simplify right side
    140,584.50x = 45,950,102,420.06
  5. Step 5: Solve for x
    x = 45,950,102,420.06/140,584.50
  6. Step 6: Final answer
    x = 326,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.