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Finding the Third Proportional to 141,682.50 and 213,887.25

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Solution

The third proportional to 141,682.50 and 213,887.25 is: 322,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,682.50 : 213,887.25 = 213,887.25 : x
  2. Step 2: Convert to fraction form
    141,682.50/213,887.25 = 213,887.25/x
  3. Step 3: Cross multiply
    141,682.50x = 213,887.25 × 213,887.25
  4. Step 4: Simplify right side
    141,682.50x = 45,747,755,712.56
  5. Step 5: Solve for x
    x = 45,747,755,712.56/141,682.50
  6. Step 6: Final answer
    x = 322,889.25

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