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Finding the Third Proportional to 190,603.13 and 414,132.75

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Solution

The third proportional to 190,603.13 and 414,132.75 is: 899,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,603.13 : 414,132.75 = 414,132.75 : x
  2. Step 2: Convert to fraction form
    190,603.13/414,132.75 = 414,132.75/x
  3. Step 3: Cross multiply
    190,603.13x = 414,132.75 × 414,132.75
  4. Step 4: Simplify right side
    190,603.13x = 171,505,934,622.56
  5. Step 5: Solve for x
    x = 171,505,934,622.56/190,603.13
  6. Step 6: Final answer
    x = 899,806.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.