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Finding the Third Proportional to 179.50 and 278.38

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Solution

The third proportional to 179.50 and 278.38 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.50 : 278.38 = 278.38 : x
  2. Step 2: Convert to fraction form
    179.50/278.38 = 278.38/x
  3. Step 3: Cross multiply
    179.50x = 278.38 × 278.38
  4. Step 4: Simplify right side
    179.50x = 77,492.64
  5. Step 5: Solve for x
    x = 77,492.64/179.50
  6. Step 6: Final answer
    x = 431.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.