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Finding the Third Proportional to 222,444 and 344,723

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Solution

The third proportional to 222,444 and 344,723 is: 534,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,444 : 344,723 = 344,723 : x
  2. Step 2: Convert to fraction form
    222,444/344,723 = 344,723/x
  3. Step 3: Cross multiply
    222,444x = 344,723 × 344,723
  4. Step 4: Simplify right side
    222,444x = 118,833,946,729
  5. Step 5: Solve for x
    x = 118,833,946,729/222,444
  6. Step 6: Final answer
    x = 534,219.61

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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.