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Finding the Third Proportional to 189,703.69 and 406,450.13

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Solution

The third proportional to 189,703.69 and 406,450.13 is: 870,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,703.69 : 406,450.13 = 406,450.13 : x
  2. Step 2: Convert to fraction form
    189,703.69/406,450.13 = 406,450.13/x
  3. Step 3: Cross multiply
    189,703.69x = 406,450.13 × 406,450.13
  4. Step 4: Simplify right side
    189,703.69x = 165,201,704,112.52
  5. Step 5: Solve for x
    x = 165,201,704,112.52/189,703.69
  6. Step 6: Final answer
    x = 870,840.76

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