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Finding the Third Proportional to 223,456 and 337,272

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Solution

The third proportional to 223,456 and 337,272 is: 509,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456 : 337,272 = 337,272 : x
  2. Step 2: Convert to fraction form
    223,456/337,272 = 337,272/x
  3. Step 3: Cross multiply
    223,456x = 337,272 × 337,272
  4. Step 4: Simplify right side
    223,456x = 113,752,401,984
  5. Step 5: Solve for x
    x = 113,752,401,984/223,456
  6. Step 6: Final answer
    x = 509,059.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.