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Finding the Third Proportional to 65.44 and 153.80

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Solution

The third proportional to 65.44 and 153.80 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 153.80 = 153.80 : x
  2. Step 2: Convert to fraction form
    65.44/153.80 = 153.80/x
  3. Step 3: Cross multiply
    65.44x = 153.80 × 153.80
  4. Step 4: Simplify right side
    65.44x = 23,653.48
  5. Step 5: Solve for x
    x = 23,653.48/65.44
  6. Step 6: Final answer
    x = 361.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.