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Finding the Third Proportional to 89.02 and 184.36

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Solution

The third proportional to 89.02 and 184.36 is: 381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.02 : 184.36 = 184.36 : x
  2. Step 2: Convert to fraction form
    89.02/184.36 = 184.36/x
  3. Step 3: Cross multiply
    89.02x = 184.36 × 184.36
  4. Step 4: Simplify right side
    89.02x = 33,988.38
  5. Step 5: Solve for x
    x = 33,988.38/89.02
  6. Step 6: Final answer
    x = 381.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.