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Finding the Third Proportional to 189,350.75 and 414,913.75

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Solution

The third proportional to 189,350.75 and 414,913.75 is: 909,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,350.75 : 414,913.75 = 414,913.75 : x
  2. Step 2: Convert to fraction form
    189,350.75/414,913.75 = 414,913.75/x
  3. Step 3: Cross multiply
    189,350.75x = 414,913.75 × 414,913.75
  4. Step 4: Simplify right side
    189,350.75x = 172,153,419,939.06
  5. Step 5: Solve for x
    x = 172,153,419,939.06/189,350.75
  6. Step 6: Final answer
    x = 909,177.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.