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Finding the Third Proportional to 189,286.50 and 384,135

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Solution

The third proportional to 189,286.50 and 384,135 is: 779,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,286.50 : 384,135 = 384,135 : x
  2. Step 2: Convert to fraction form
    189,286.50/384,135 = 384,135/x
  3. Step 3: Cross multiply
    189,286.50x = 384,135 × 384,135
  4. Step 4: Simplify right side
    189,286.50x = 147,559,698,225
  5. Step 5: Solve for x
    x = 147,559,698,225/189,286.50
  6. Step 6: Final answer
    x = 779,557.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.