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Finding the Third Proportional to 106.50 and 184.88

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Solution

The third proportional to 106.50 and 184.88 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 184.88 = 184.88 : x
  2. Step 2: Convert to fraction form
    106.50/184.88 = 184.88/x
  3. Step 3: Cross multiply
    106.50x = 184.88 × 184.88
  4. Step 4: Simplify right side
    106.50x = 34,178.77
  5. Step 5: Solve for x
    x = 34,178.77/106.50
  6. Step 6: Final answer
    x = 320.93

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.