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Finding the Third Proportional to 184.57 and 288.07

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Solution

The third proportional to 184.57 and 288.07 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.57 : 288.07 = 288.07 : x
  2. Step 2: Convert to fraction form
    184.57/288.07 = 288.07/x
  3. Step 3: Cross multiply
    184.57x = 288.07 × 288.07
  4. Step 4: Simplify right side
    184.57x = 82,984.50
  5. Step 5: Solve for x
    x = 82,984.50/184.57
  6. Step 6: Final answer
    x = 449.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.