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Finding the Third Proportional to 141,213.50 and 310,414

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Solution

The third proportional to 141,213.50 and 310,414 is: 682,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213.50 : 310,414 = 310,414 : x
  2. Step 2: Convert to fraction form
    141,213.50/310,414 = 310,414/x
  3. Step 3: Cross multiply
    141,213.50x = 310,414 × 310,414
  4. Step 4: Simplify right side
    141,213.50x = 96,356,851,396
  5. Step 5: Solve for x
    x = 96,356,851,396/141,213.50
  6. Step 6: Final answer
    x = 682,348.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.