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Finding the Third Proportional to 71,680.78 and 155,822.06

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Solution

The third proportional to 71,680.78 and 155,822.06 is: 338,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,680.78 : 155,822.06 = 155,822.06 : x
  2. Step 2: Convert to fraction form
    71,680.78/155,822.06 = 155,822.06/x
  3. Step 3: Cross multiply
    71,680.78x = 155,822.06 × 155,822.06
  4. Step 4: Simplify right side
    71,680.78x = 24,280,515,161.75
  5. Step 5: Solve for x
    x = 24,280,515,161.75/71,680.78
  6. Step 6: Final answer
    x = 338,731.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.