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Finding the Third Proportional to 131,186 and 202,593

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Solution

The third proportional to 131,186 and 202,593 is: 312,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,186 : 202,593 = 202,593 : x
  2. Step 2: Convert to fraction form
    131,186/202,593 = 202,593/x
  3. Step 3: Cross multiply
    131,186x = 202,593 × 202,593
  4. Step 4: Simplify right side
    131,186x = 41,043,923,649
  5. Step 5: Solve for x
    x = 41,043,923,649/131,186
  6. Step 6: Final answer
    x = 312,868.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.