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Finding the Third Proportional to 229,354 and 337,273

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Solution

The third proportional to 229,354 and 337,273 is: 495,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354 : 337,273 = 337,273 : x
  2. Step 2: Convert to fraction form
    229,354/337,273 = 337,273/x
  3. Step 3: Cross multiply
    229,354x = 337,273 × 337,273
  4. Step 4: Simplify right side
    229,354x = 113,753,076,529
  5. Step 5: Solve for x
    x = 113,753,076,529/229,354
  6. Step 6: Final answer
    x = 495,971.63

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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.