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Finding the Third Proportional to 222,444 and 344,724

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Solution

The third proportional to 222,444 and 344,724 is: 534,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,444 : 344,724 = 344,724 : x
  2. Step 2: Convert to fraction form
    222,444/344,724 = 344,724/x
  3. Step 3: Cross multiply
    222,444x = 344,724 × 344,724
  4. Step 4: Simplify right side
    222,444x = 118,834,636,176
  5. Step 5: Solve for x
    x = 118,834,636,176/222,444
  6. Step 6: Final answer
    x = 534,222.71

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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.