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Finding the Third Proportional to 131,178.23 and 200,569.92

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Solution

The third proportional to 131,178.23 and 200,569.92 is: 306,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,178.23 : 200,569.92 = 200,569.92 : x
  2. Step 2: Convert to fraction form
    131,178.23/200,569.92 = 200,569.92/x
  3. Step 3: Cross multiply
    131,178.23x = 200,569.92 × 200,569.92
  4. Step 4: Simplify right side
    131,178.23x = 40,228,293,560.94
  5. Step 5: Solve for x
    x = 40,228,293,560.94/131,178.23
  6. Step 6: Final answer
    x = 306,668.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.