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Finding the Third Proportional to 131,940 and 204,360

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Solution

The third proportional to 131,940 and 204,360 is: 316,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,940 : 204,360 = 204,360 : x
  2. Step 2: Convert to fraction form
    131,940/204,360 = 204,360/x
  3. Step 3: Cross multiply
    131,940x = 204,360 × 204,360
  4. Step 4: Simplify right side
    131,940x = 41,763,009,600
  5. Step 5: Solve for x
    x = 41,763,009,600/131,940
  6. Step 6: Final answer
    x = 316,530.31

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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.