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Finding the Third Proportional to 226,092 and 349,924

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Solution

The third proportional to 226,092 and 349,924 is: 541,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,092 : 349,924 = 349,924 : x
  2. Step 2: Convert to fraction form
    226,092/349,924 = 349,924/x
  3. Step 3: Cross multiply
    226,092x = 349,924 × 349,924
  4. Step 4: Simplify right side
    226,092x = 122,446,805,776
  5. Step 5: Solve for x
    x = 122,446,805,776/226,092
  6. Step 6: Final answer
    x = 541,579.56

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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.