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Finding the Third Proportional to 70,767 and 154,660.50

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Solution

The third proportional to 70,767 and 154,660.50 is: 338,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,767 : 154,660.50 = 154,660.50 : x
  2. Step 2: Convert to fraction form
    70,767/154,660.50 = 154,660.50/x
  3. Step 3: Cross multiply
    70,767x = 154,660.50 × 154,660.50
  4. Step 4: Simplify right side
    70,767x = 23,919,870,260.25
  5. Step 5: Solve for x
    x = 23,919,870,260.25/70,767
  6. Step 6: Final answer
    x = 338,008.82

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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.