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Finding the Third Proportional to 70 and 154.63

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Solution

The third proportional to 70 and 154.63 is: 341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70 : 154.63 = 154.63 : x
  2. Step 2: Convert to fraction form
    70/154.63 = 154.63/x
  3. Step 3: Cross multiply
    70x = 154.63 × 154.63
  4. Step 4: Simplify right side
    70x = 23,908.89
  5. Step 5: Solve for x
    x = 23,908.89/70
  6. Step 6: Final answer
    x = 341.56

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.