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Finding the Third Proportional to 189,906.19 and 300,715.03

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Solution

The third proportional to 189,906.19 and 300,715.03 is: 476,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,906.19 : 300,715.03 = 300,715.03 : x
  2. Step 2: Convert to fraction form
    189,906.19/300,715.03 = 300,715.03/x
  3. Step 3: Cross multiply
    189,906.19x = 300,715.03 × 300,715.03
  4. Step 4: Simplify right side
    189,906.19x = 90,429,530,019.69
  5. Step 5: Solve for x
    x = 90,429,530,019.69/189,906.19
  6. Step 6: Final answer
    x = 476,180.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.