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Finding the Third Proportional to 195,326.44 and 414,633.94

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Solution

The third proportional to 195,326.44 and 414,633.94 is: 880,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,326.44 : 414,633.94 = 414,633.94 : x
  2. Step 2: Convert to fraction form
    195,326.44/414,633.94 = 414,633.94/x
  3. Step 3: Cross multiply
    195,326.44x = 414,633.94 × 414,633.94
  4. Step 4: Simplify right side
    195,326.44x = 171,921,302,126.75
  5. Step 5: Solve for x
    x = 171,921,302,126.75/195,326.44
  6. Step 6: Final answer
    x = 880,174.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.