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Finding the Third Proportional to 190.13 and 298.50

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Solution

The third proportional to 190.13 and 298.50 is: 468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 298.50 = 298.50 : x
  2. Step 2: Convert to fraction form
    190.13/298.50 = 298.50/x
  3. Step 3: Cross multiply
    190.13x = 298.50 × 298.50
  4. Step 4: Simplify right side
    190.13x = 89,102.25
  5. Step 5: Solve for x
    x = 89,102.25/190.13
  6. Step 6: Final answer
    x = 468.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.