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Finding the Third Proportional to 295.75 and 433.25

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Solution

The third proportional to 295.75 and 433.25 is: 634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.75 : 433.25 = 433.25 : x
  2. Step 2: Convert to fraction form
    295.75/433.25 = 433.25/x
  3. Step 3: Cross multiply
    295.75x = 433.25 × 433.25
  4. Step 4: Simplify right side
    295.75x = 187,705.56
  5. Step 5: Solve for x
    x = 187,705.56/295.75
  6. Step 6: Final answer
    x = 634.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.