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Finding the Third Proportional to 279.94 and 429.56

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Solution

The third proportional to 279.94 and 429.56 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.94 : 429.56 = 429.56 : x
  2. Step 2: Convert to fraction form
    279.94/429.56 = 429.56/x
  3. Step 3: Cross multiply
    279.94x = 429.56 × 429.56
  4. Step 4: Simplify right side
    279.94x = 184,523.94
  5. Step 5: Solve for x
    x = 184,523.94/279.94
  6. Step 6: Final answer
    x = 659.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.