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Finding the Third Proportional to 131,356 and 203,192

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Solution

The third proportional to 131,356 and 203,192 is: 314,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,356 : 203,192 = 203,192 : x
  2. Step 2: Convert to fraction form
    131,356/203,192 = 203,192/x
  3. Step 3: Cross multiply
    131,356x = 203,192 × 203,192
  4. Step 4: Simplify right side
    131,356x = 41,286,988,864
  5. Step 5: Solve for x
    x = 41,286,988,864/131,356
  6. Step 6: Final answer
    x = 314,313.69

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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.