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Finding the Third Proportional to 131,816 and 204,277

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Solution

The third proportional to 131,816 and 204,277 is: 316,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,816 : 204,277 = 204,277 : x
  2. Step 2: Convert to fraction form
    131,816/204,277 = 204,277/x
  3. Step 3: Cross multiply
    131,816x = 204,277 × 204,277
  4. Step 4: Simplify right side
    131,816x = 41,729,092,729
  5. Step 5: Solve for x
    x = 41,729,092,729/131,816
  6. Step 6: Final answer
    x = 316,570.77

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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.