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Finding the Third Proportional to 235,796 and 333,328

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Solution

The third proportional to 235,796 and 333,328 is: 471,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,796 : 333,328 = 333,328 : x
  2. Step 2: Convert to fraction form
    235,796/333,328 = 333,328/x
  3. Step 3: Cross multiply
    235,796x = 333,328 × 333,328
  4. Step 4: Simplify right side
    235,796x = 111,107,555,584
  5. Step 5: Solve for x
    x = 111,107,555,584/235,796
  6. Step 6: Final answer
    x = 471,202.04

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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.