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Finding the Third Proportional to 65.50 and 150.93

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Solution

The third proportional to 65.50 and 150.93 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 150.93 = 150.93 : x
  2. Step 2: Convert to fraction form
    65.50/150.93 = 150.93/x
  3. Step 3: Cross multiply
    65.50x = 150.93 × 150.93
  4. Step 4: Simplify right side
    65.50x = 22,778.59
  5. Step 5: Solve for x
    x = 22,778.59/65.50
  6. Step 6: Final answer
    x = 347.79

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.