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Finding the Third Proportional to 199.69 and 293.81

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Solution

The third proportional to 199.69 and 293.81 is: 432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 293.81 = 293.81 : x
  2. Step 2: Convert to fraction form
    199.69/293.81 = 293.81/x
  3. Step 3: Cross multiply
    199.69x = 293.81 × 293.81
  4. Step 4: Simplify right side
    199.69x = 86,325.79
  5. Step 5: Solve for x
    x = 86,325.79/199.69
  6. Step 6: Final answer
    x = 432.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.