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Finding the Third Proportional to 295.95 and 443.92

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Solution

The third proportional to 295.95 and 443.92 is: 665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 443.92 = 443.92 : x
  2. Step 2: Convert to fraction form
    295.95/443.92 = 443.92/x
  3. Step 3: Cross multiply
    295.95x = 443.92 × 443.92
  4. Step 4: Simplify right side
    295.95x = 197,063.16
  5. Step 5: Solve for x
    x = 197,063.16/295.95
  6. Step 6: Final answer
    x = 665.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.