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Finding the Third Proportional to 199.55 and 298.48

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Solution

The third proportional to 199.55 and 298.48 is: 446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 298.48 = 298.48 : x
  2. Step 2: Convert to fraction form
    199.55/298.48 = 298.48/x
  3. Step 3: Cross multiply
    199.55x = 298.48 × 298.48
  4. Step 4: Simplify right side
    199.55x = 89,088.26
  5. Step 5: Solve for x
    x = 89,088.26/199.55
  6. Step 6: Final answer
    x = 446.45

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