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Finding the Third Proportional to 196,282.13 and 294,414.75

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Solution

The third proportional to 196,282.13 and 294,414.75 is: 441,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,282.13 : 294,414.75 = 294,414.75 : x
  2. Step 2: Convert to fraction form
    196,282.13/294,414.75 = 294,414.75/x
  3. Step 3: Cross multiply
    196,282.13x = 294,414.75 × 294,414.75
  4. Step 4: Simplify right side
    196,282.13x = 86,680,045,017.56
  5. Step 5: Solve for x
    x = 86,680,045,017.56/196,282.13
  6. Step 6: Final answer
    x = 441,609.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.