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Finding the Third Proportional to 190.25 and 296.31

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Solution

The third proportional to 190.25 and 296.31 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.25 : 296.31 = 296.31 : x
  2. Step 2: Convert to fraction form
    190.25/296.31 = 296.31/x
  3. Step 3: Cross multiply
    190.25x = 296.31 × 296.31
  4. Step 4: Simplify right side
    190.25x = 87,801.10
  5. Step 5: Solve for x
    x = 87,801.10/190.25
  6. Step 6: Final answer
    x = 461.50

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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.