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Finding the Third Proportional to 222,624 and 344,772

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Solution

The third proportional to 222,624 and 344,772 is: 533,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,624 : 344,772 = 344,772 : x
  2. Step 2: Convert to fraction form
    222,624/344,772 = 344,772/x
  3. Step 3: Cross multiply
    222,624x = 344,772 × 344,772
  4. Step 4: Simplify right side
    222,624x = 118,867,731,984
  5. Step 5: Solve for x
    x = 118,867,731,984/222,624
  6. Step 6: Final answer
    x = 533,939.43

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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.