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Finding the Third Proportional to 131,904 and 204,597

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Solution

The third proportional to 131,904 and 204,597 is: 317,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904 : 204,597 = 204,597 : x
  2. Step 2: Convert to fraction form
    131,904/204,597 = 204,597/x
  3. Step 3: Cross multiply
    131,904x = 204,597 × 204,597
  4. Step 4: Simplify right side
    131,904x = 41,859,932,409
  5. Step 5: Solve for x
    x = 41,859,932,409/131,904
  6. Step 6: Final answer
    x = 317,351.50

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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.