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Finding the Third Proportional to 180.84 and 279.94

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Solution

The third proportional to 180.84 and 279.94 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 279.94 = 279.94 : x
  2. Step 2: Convert to fraction form
    180.84/279.94 = 279.94/x
  3. Step 3: Cross multiply
    180.84x = 279.94 × 279.94
  4. Step 4: Simplify right side
    180.84x = 78,365.00
  5. Step 5: Solve for x
    x = 78,365.00/180.84
  6. Step 6: Final answer
    x = 433.33

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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.