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Finding the Third Proportional to 235,831 and 333,380

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Solution

The third proportional to 235,831 and 333,380 is: 471,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,831 : 333,380 = 333,380 : x
  2. Step 2: Convert to fraction form
    235,831/333,380 = 333,380/x
  3. Step 3: Cross multiply
    235,831x = 333,380 × 333,380
  4. Step 4: Simplify right side
    235,831x = 111,142,224,400
  5. Step 5: Solve for x
    x = 111,142,224,400/235,831
  6. Step 6: Final answer
    x = 471,279.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.