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Finding the Third Proportional to 182.04 and 289.30

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Solution

The third proportional to 182.04 and 289.30 is: 459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 289.30 = 289.30 : x
  2. Step 2: Convert to fraction form
    182.04/289.30 = 289.30/x
  3. Step 3: Cross multiply
    182.04x = 289.30 × 289.30
  4. Step 4: Simplify right side
    182.04x = 83,694.94
  5. Step 5: Solve for x
    x = 83,694.94/182.04
  6. Step 6: Final answer
    x = 459.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.