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Finding the Third Proportional to 229,339 and 337,267

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Solution

The third proportional to 229,339 and 337,267 is: 495,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,339 : 337,267 = 337,267 : x
  2. Step 2: Convert to fraction form
    229,339/337,267 = 337,267/x
  3. Step 3: Cross multiply
    229,339x = 337,267 × 337,267
  4. Step 4: Simplify right side
    229,339x = 113,749,029,289
  5. Step 5: Solve for x
    x = 113,749,029,289/229,339
  6. Step 6: Final answer
    x = 495,986.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.