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Finding the Third Proportional to 131,576 and 200,652

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Solution

The third proportional to 131,576 and 200,652 is: 305,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,576 : 200,652 = 200,652 : x
  2. Step 2: Convert to fraction form
    131,576/200,652 = 200,652/x
  3. Step 3: Cross multiply
    131,576x = 200,652 × 200,652
  4. Step 4: Simplify right side
    131,576x = 40,261,225,104
  5. Step 5: Solve for x
    x = 40,261,225,104/131,576
  6. Step 6: Final answer
    x = 305,992.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.