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Finding the Third Proportional to 233,957 and 349,374

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Solution

The third proportional to 233,957 and 349,374 is: 521,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,957 : 349,374 = 349,374 : x
  2. Step 2: Convert to fraction form
    233,957/349,374 = 349,374/x
  3. Step 3: Cross multiply
    233,957x = 349,374 × 349,374
  4. Step 4: Simplify right side
    233,957x = 122,062,191,876
  5. Step 5: Solve for x
    x = 122,062,191,876/233,957
  6. Step 6: Final answer
    x = 521,729.17

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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.