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Finding the Third Proportional to 93.40 and 184.41

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Solution

The third proportional to 93.40 and 184.41 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 184.41 = 184.41 : x
  2. Step 2: Convert to fraction form
    93.40/184.41 = 184.41/x
  3. Step 3: Cross multiply
    93.40x = 184.41 × 184.41
  4. Step 4: Simplify right side
    93.40x = 34,007.83
  5. Step 5: Solve for x
    x = 34,007.83/93.40
  6. Step 6: Final answer
    x = 364.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.