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Finding the Third Proportional to 222,672 and 344,828

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Solution

The third proportional to 222,672 and 344,828 is: 533,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,672 : 344,828 = 344,828 : x
  2. Step 2: Convert to fraction form
    222,672/344,828 = 344,828/x
  3. Step 3: Cross multiply
    222,672x = 344,828 × 344,828
  4. Step 4: Simplify right side
    222,672x = 118,906,349,584
  5. Step 5: Solve for x
    x = 118,906,349,584/222,672
  6. Step 6: Final answer
    x = 533,997.76

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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.