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Finding the Third Proportional to 295.53 and 446.90

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Solution

The third proportional to 295.53 and 446.90 is: 675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 446.90 = 446.90 : x
  2. Step 2: Convert to fraction form
    295.53/446.90 = 446.90/x
  3. Step 3: Cross multiply
    295.53x = 446.90 × 446.90
  4. Step 4: Simplify right side
    295.53x = 199,723.23
  5. Step 5: Solve for x
    x = 199,723.23/295.53
  6. Step 6: Final answer
    x = 675.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.