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Finding the Third Proportional to 184.46 and 283.34

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Solution

The third proportional to 184.46 and 283.34 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.46 : 283.34 = 283.34 : x
  2. Step 2: Convert to fraction form
    184.46/283.34 = 283.34/x
  3. Step 3: Cross multiply
    184.46x = 283.34 × 283.34
  4. Step 4: Simplify right side
    184.46x = 80,282.57
  5. Step 5: Solve for x
    x = 80,282.57/184.46
  6. Step 6: Final answer
    x = 435.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.