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Finding the Third Proportional to 141,583.50 and 214,188.75

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Solution

The third proportional to 141,583.50 and 214,188.75 is: 324,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,583.50 : 214,188.75 = 214,188.75 : x
  2. Step 2: Convert to fraction form
    141,583.50/214,188.75 = 214,188.75/x
  3. Step 3: Cross multiply
    141,583.50x = 214,188.75 × 214,188.75
  4. Step 4: Simplify right side
    141,583.50x = 45,876,820,626.56
  5. Step 5: Solve for x
    x = 45,876,820,626.56/141,583.50
  6. Step 6: Final answer
    x = 324,026.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.