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Finding the Third Proportional to 279.70 and 419.55

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Solution

The third proportional to 279.70 and 419.55 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 419.55 = 419.55 : x
  2. Step 2: Convert to fraction form
    279.70/419.55 = 419.55/x
  3. Step 3: Cross multiply
    279.70x = 419.55 × 419.55
  4. Step 4: Simplify right side
    279.70x = 176,026.14
  5. Step 5: Solve for x
    x = 176,026.14/279.70
  6. Step 6: Final answer
    x = 629.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.