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Finding the Third Proportional to 235,800 and 333,336

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Solution

The third proportional to 235,800 and 333,336 is: 471,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,800 : 333,336 = 333,336 : x
  2. Step 2: Convert to fraction form
    235,800/333,336 = 333,336/x
  3. Step 3: Cross multiply
    235,800x = 333,336 × 333,336
  4. Step 4: Simplify right side
    235,800x = 111,112,888,896
  5. Step 5: Solve for x
    x = 111,112,888,896/235,800
  6. Step 6: Final answer
    x = 471,216.66

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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.