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Finding the Third Proportional to 189,352.69 and 414,336.94

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Solution

The third proportional to 189,352.69 and 414,336.94 is: 906,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,352.69 : 414,336.94 = 414,336.94 : x
  2. Step 2: Convert to fraction form
    189,352.69/414,336.94 = 414,336.94/x
  3. Step 3: Cross multiply
    189,352.69x = 414,336.94 × 414,336.94
  4. Step 4: Simplify right side
    189,352.69x = 171,675,097,776.88
  5. Step 5: Solve for x
    x = 171,675,097,776.88/189,352.69
  6. Step 6: Final answer
    x = 906,641.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.