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Finding the Third Proportional to 189.84 and 286.03

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Solution

The third proportional to 189.84 and 286.03 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 286.03 = 286.03 : x
  2. Step 2: Convert to fraction form
    189.84/286.03 = 286.03/x
  3. Step 3: Cross multiply
    189.84x = 286.03 × 286.03
  4. Step 4: Simplify right side
    189.84x = 81,813.88
  5. Step 5: Solve for x
    x = 81,813.88/189.84
  6. Step 6: Final answer
    x = 430.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.