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Finding the Third Proportional to 131,264 and 203,642

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Solution

The third proportional to 131,264 and 203,642 is: 315,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264 : 203,642 = 203,642 : x
  2. Step 2: Convert to fraction form
    131,264/203,642 = 203,642/x
  3. Step 3: Cross multiply
    131,264x = 203,642 × 203,642
  4. Step 4: Simplify right side
    131,264x = 41,470,064,164
  5. Step 5: Solve for x
    x = 41,470,064,164/131,264
  6. Step 6: Final answer
    x = 315,928.69

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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.