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Finding the Third Proportional to 123,509 and 251,383

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Solution

The third proportional to 123,509 and 251,383 is: 511,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509 : 251,383 = 251,383 : x
  2. Step 2: Convert to fraction form
    123,509/251,383 = 251,383/x
  3. Step 3: Cross multiply
    123,509x = 251,383 × 251,383
  4. Step 4: Simplify right side
    123,509x = 63,193,412,689
  5. Step 5: Solve for x
    x = 63,193,412,689/123,509
  6. Step 6: Final answer
    x = 511,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.