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Finding the Third Proportional to 229,340 and 337,266

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Solution

The third proportional to 229,340 and 337,266 is: 495,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,340 : 337,266 = 337,266 : x
  2. Step 2: Convert to fraction form
    229,340/337,266 = 337,266/x
  3. Step 3: Cross multiply
    229,340x = 337,266 × 337,266
  4. Step 4: Simplify right side
    229,340x = 113,748,354,756
  5. Step 5: Solve for x
    x = 113,748,354,756/229,340
  6. Step 6: Final answer
    x = 495,981.31

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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.