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Finding the Third Proportional to 233,957 and 349,376

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Solution

The third proportional to 233,957 and 349,376 is: 521,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,957 : 349,376 = 349,376 : x
  2. Step 2: Convert to fraction form
    233,957/349,376 = 349,376/x
  3. Step 3: Cross multiply
    233,957x = 349,376 × 349,376
  4. Step 4: Simplify right side
    233,957x = 122,063,589,376
  5. Step 5: Solve for x
    x = 122,063,589,376/233,957
  6. Step 6: Final answer
    x = 521,735.15

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