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Finding the Third Proportional to 189,624.38 and 406,233.56

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Solution

The third proportional to 189,624.38 and 406,233.56 is: 870,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,624.38 : 406,233.56 = 406,233.56 : x
  2. Step 2: Convert to fraction form
    189,624.38/406,233.56 = 406,233.56/x
  3. Step 3: Cross multiply
    189,624.38x = 406,233.56 × 406,233.56
  4. Step 4: Simplify right side
    189,624.38x = 165,025,707,301.44
  5. Step 5: Solve for x
    x = 165,025,707,301.44/189,624.38
  6. Step 6: Final answer
    x = 870,276.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.