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Finding the Third Proportional to 172.69 and 278.06

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Solution

The third proportional to 172.69 and 278.06 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.69 : 278.06 = 278.06 : x
  2. Step 2: Convert to fraction form
    172.69/278.06 = 278.06/x
  3. Step 3: Cross multiply
    172.69x = 278.06 × 278.06
  4. Step 4: Simplify right side
    172.69x = 77,318.75
  5. Step 5: Solve for x
    x = 77,318.75/172.69
  6. Step 6: Final answer
    x = 447.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.