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Finding the Third Proportional to 289.75 and 429.25

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Solution

The third proportional to 289.75 and 429.25 is: 635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.75 : 429.25 = 429.25 : x
  2. Step 2: Convert to fraction form
    289.75/429.25 = 429.25/x
  3. Step 3: Cross multiply
    289.75x = 429.25 × 429.25
  4. Step 4: Simplify right side
    289.75x = 184,255.56
  5. Step 5: Solve for x
    x = 184,255.56/289.75
  6. Step 6: Final answer
    x = 635.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.