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Finding the Third Proportional to 70,981.50 and 155,245.50

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Solution

The third proportional to 70,981.50 and 155,245.50 is: 339,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.50 : 155,245.50 = 155,245.50 : x
  2. Step 2: Convert to fraction form
    70,981.50/155,245.50 = 155,245.50/x
  3. Step 3: Cross multiply
    70,981.50x = 155,245.50 × 155,245.50
  4. Step 4: Simplify right side
    70,981.50x = 24,101,165,270.25
  5. Step 5: Solve for x
    x = 24,101,165,270.25/70,981.50
  6. Step 6: Final answer
    x = 339,541.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.