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Finding the Third Proportional to 117.84 and 183.28

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Solution

The third proportional to 117.84 and 183.28 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 183.28 = 183.28 : x
  2. Step 2: Convert to fraction form
    117.84/183.28 = 183.28/x
  3. Step 3: Cross multiply
    117.84x = 183.28 × 183.28
  4. Step 4: Simplify right side
    117.84x = 33,592.02
  5. Step 5: Solve for x
    x = 33,592.02/117.84
  6. Step 6: Final answer
    x = 285.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.