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Finding the Third Proportional to 131,181 and 200,574.75

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Solution

The third proportional to 131,181 and 200,574.75 is: 306,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,181 : 200,574.75 = 200,574.75 : x
  2. Step 2: Convert to fraction form
    131,181/200,574.75 = 200,574.75/x
  3. Step 3: Cross multiply
    131,181x = 200,574.75 × 200,574.75
  4. Step 4: Simplify right side
    131,181x = 40,230,230,337.56
  5. Step 5: Solve for x
    x = 40,230,230,337.56/131,181
  6. Step 6: Final answer
    x = 306,677.27

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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.