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Finding the Third Proportional to 196,354.13 and 296,171.44

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Solution

The third proportional to 196,354.13 and 296,171.44 is: 446,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354.13 : 296,171.44 = 296,171.44 : x
  2. Step 2: Convert to fraction form
    196,354.13/296,171.44 = 296,171.44/x
  3. Step 3: Cross multiply
    196,354.13x = 296,171.44 × 296,171.44
  4. Step 4: Simplify right side
    196,354.13x = 87,717,520,390.82
  5. Step 5: Solve for x
    x = 87,717,520,390.82/196,354.13
  6. Step 6: Final answer
    x = 446,731.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.