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Finding the Third Proportional to 131,805 and 204,261.75

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Solution

The third proportional to 131,805 and 204,261.75 is: 316,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805 : 204,261.75 = 204,261.75 : x
  2. Step 2: Convert to fraction form
    131,805/204,261.75 = 204,261.75/x
  3. Step 3: Cross multiply
    131,805x = 204,261.75 × 204,261.75
  4. Step 4: Simplify right side
    131,805x = 41,722,862,513.06
  5. Step 5: Solve for x
    x = 41,722,862,513.06/131,805
  6. Step 6: Final answer
    x = 316,549.92

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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.