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Finding the Third Proportional to 184.39 and 283.70

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Solution

The third proportional to 184.39 and 283.70 is: 436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.39 : 283.70 = 283.70 : x
  2. Step 2: Convert to fraction form
    184.39/283.70 = 283.70/x
  3. Step 3: Cross multiply
    184.39x = 283.70 × 283.70
  4. Step 4: Simplify right side
    184.39x = 80,484.42
  5. Step 5: Solve for x
    x = 80,484.42/184.39
  6. Step 6: Final answer
    x = 436.50

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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.