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Finding the Third Proportional to 70,570.50 and 154,965

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Solution

The third proportional to 70,570.50 and 154,965 is: 340,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.50 : 154,965 = 154,965 : x
  2. Step 2: Convert to fraction form
    70,570.50/154,965 = 154,965/x
  3. Step 3: Cross multiply
    70,570.50x = 154,965 × 154,965
  4. Step 4: Simplify right side
    70,570.50x = 24,014,151,225
  5. Step 5: Solve for x
    x = 24,014,151,225/70,570.50
  6. Step 6: Final answer
    x = 340,285.97

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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.