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Finding the Third Proportional to 235,847 and 333,397

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Solution

The third proportional to 235,847 and 333,397 is: 471,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,847 : 333,397 = 333,397 : x
  2. Step 2: Convert to fraction form
    235,847/333,397 = 333,397/x
  3. Step 3: Cross multiply
    235,847x = 333,397 × 333,397
  4. Step 4: Simplify right side
    235,847x = 111,153,559,609
  5. Step 5: Solve for x
    x = 111,153,559,609/235,847
  6. Step 6: Final answer
    x = 471,295.20

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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.