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Finding the Third Proportional to 184.16 and 266.28

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Solution

The third proportional to 184.16 and 266.28 is: 385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 266.28 = 266.28 : x
  2. Step 2: Convert to fraction form
    184.16/266.28 = 266.28/x
  3. Step 3: Cross multiply
    184.16x = 266.28 × 266.28
  4. Step 4: Simplify right side
    184.16x = 70,905.70
  5. Step 5: Solve for x
    x = 70,905.70/184.16
  6. Step 6: Final answer
    x = 385.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.