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Finding the Third Proportional to 233,954 and 349,372

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Solution

The third proportional to 233,954 and 349,372 is: 521,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,954 : 349,372 = 349,372 : x
  2. Step 2: Convert to fraction form
    233,954/349,372 = 349,372/x
  3. Step 3: Cross multiply
    233,954x = 349,372 × 349,372
  4. Step 4: Simplify right side
    233,954x = 122,060,794,384
  5. Step 5: Solve for x
    x = 122,060,794,384/233,954
  6. Step 6: Final answer
    x = 521,729.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.