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Finding the Third Proportional to 196,801.31 and 411,078.38

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Solution

The third proportional to 196,801.31 and 411,078.38 is: 858,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,801.31 : 411,078.38 = 411,078.38 : x
  2. Step 2: Convert to fraction form
    196,801.31/411,078.38 = 411,078.38/x
  3. Step 3: Cross multiply
    196,801.31x = 411,078.38 × 411,078.38
  4. Step 4: Simplify right side
    196,801.31x = 168,985,430,392.64
  5. Step 5: Solve for x
    x = 168,985,430,392.64/196,801.31
  6. Step 6: Final answer
    x = 858,660.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.