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Finding the Third Proportional to 295.52 and 445.18

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Solution

The third proportional to 295.52 and 445.18 is: 670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 445.18 = 445.18 : x
  2. Step 2: Convert to fraction form
    295.52/445.18 = 445.18/x
  3. Step 3: Cross multiply
    295.52x = 445.18 × 445.18
  4. Step 4: Simplify right side
    295.52x = 198,188.43
  5. Step 5: Solve for x
    x = 198,188.43/295.52
  6. Step 6: Final answer
    x = 670.64

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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.