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Finding the Third Proportional to 222,273 and 344,691

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Solution

The third proportional to 222,273 and 344,691 is: 534,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,273 : 344,691 = 344,691 : x
  2. Step 2: Convert to fraction form
    222,273/344,691 = 344,691/x
  3. Step 3: Cross multiply
    222,273x = 344,691 × 344,691
  4. Step 4: Simplify right side
    222,273x = 118,811,885,481
  5. Step 5: Solve for x
    x = 118,811,885,481/222,273
  6. Step 6: Final answer
    x = 534,531.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.