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Finding the Third Proportional to 190.41 and 296.72

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Solution

The third proportional to 190.41 and 296.72 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 296.72 = 296.72 : x
  2. Step 2: Convert to fraction form
    190.41/296.72 = 296.72/x
  3. Step 3: Cross multiply
    190.41x = 296.72 × 296.72
  4. Step 4: Simplify right side
    190.41x = 88,042.02
  5. Step 5: Solve for x
    x = 88,042.02/190.41
  6. Step 6: Final answer
    x = 462.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.