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Finding the Third Proportional to 190.13 and 417.56

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Solution

The third proportional to 190.13 and 417.56 is: 917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 417.56 = 417.56 : x
  2. Step 2: Convert to fraction form
    190.13/417.56 = 417.56/x
  3. Step 3: Cross multiply
    190.13x = 417.56 × 417.56
  4. Step 4: Simplify right side
    190.13x = 174,358.44
  5. Step 5: Solve for x
    x = 174,358.44/190.13
  6. Step 6: Final answer
    x = 917.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.