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Finding the Third Proportional to 70,680.50 and 154,729

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Solution

The third proportional to 70,680.50 and 154,729 is: 338,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,680.50 : 154,729 = 154,729 : x
  2. Step 2: Convert to fraction form
    70,680.50/154,729 = 154,729/x
  3. Step 3: Cross multiply
    70,680.50x = 154,729 × 154,729
  4. Step 4: Simplify right side
    70,680.50x = 23,941,063,441
  5. Step 5: Solve for x
    x = 23,941,063,441/70,680.50
  6. Step 6: Final answer
    x = 338,722.33

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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.