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Finding the Third Proportional to 179.47 and 285.94

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Solution

The third proportional to 179.47 and 285.94 is: 455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.47 : 285.94 = 285.94 : x
  2. Step 2: Convert to fraction form
    179.47/285.94 = 285.94/x
  3. Step 3: Cross multiply
    179.47x = 285.94 × 285.94
  4. Step 4: Simplify right side
    179.47x = 81,760.25
  5. Step 5: Solve for x
    x = 81,760.25/179.47
  6. Step 6: Final answer
    x = 455.57

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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.