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Finding the Third Proportional to 131,232 and 203,591

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Solution

The third proportional to 131,232 and 203,591 is: 315,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232 : 203,591 = 203,591 : x
  2. Step 2: Convert to fraction form
    131,232/203,591 = 203,591/x
  3. Step 3: Cross multiply
    131,232x = 203,591 × 203,591
  4. Step 4: Simplify right side
    131,232x = 41,449,295,281
  5. Step 5: Solve for x
    x = 41,449,295,281/131,232
  6. Step 6: Final answer
    x = 315,847.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.