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Finding the Third Proportional to 119,869 and 258,419

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Solution

The third proportional to 119,869 and 258,419 is: 557,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,869 : 258,419 = 258,419 : x
  2. Step 2: Convert to fraction form
    119,869/258,419 = 258,419/x
  3. Step 3: Cross multiply
    119,869x = 258,419 × 258,419
  4. Step 4: Simplify right side
    119,869x = 66,780,379,561
  5. Step 5: Solve for x
    x = 66,780,379,561/119,869
  6. Step 6: Final answer
    x = 557,111.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.