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Finding the Third Proportional to 233,048 and 257,672

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Solution

The third proportional to 233,048 and 257,672 is: 284,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048 : 257,672 = 257,672 : x
  2. Step 2: Convert to fraction form
    233,048/257,672 = 257,672/x
  3. Step 3: Cross multiply
    233,048x = 257,672 × 257,672
  4. Step 4: Simplify right side
    233,048x = 66,394,859,584
  5. Step 5: Solve for x
    x = 66,394,859,584/233,048
  6. Step 6: Final answer
    x = 284,897.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.