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Finding the Third Proportional to 189,732.38 and 406,361.81

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Solution

The third proportional to 189,732.38 and 406,361.81 is: 870,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732.38 : 406,361.81 = 406,361.81 : x
  2. Step 2: Convert to fraction form
    189,732.38/406,361.81 = 406,361.81/x
  3. Step 3: Cross multiply
    189,732.38x = 406,361.81 × 406,361.81
  4. Step 4: Simplify right side
    189,732.38x = 165,129,922,658.29
  5. Step 5: Solve for x
    x = 165,129,922,658.29/189,732.38
  6. Step 6: Final answer
    x = 870,330.76

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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.