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Finding the Third Proportional to 119,884 and 258,458

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Solution

The third proportional to 119,884 and 258,458 is: 557,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,884 : 258,458 = 258,458 : x
  2. Step 2: Convert to fraction form
    119,884/258,458 = 258,458/x
  3. Step 3: Cross multiply
    119,884x = 258,458 × 258,458
  4. Step 4: Simplify right side
    119,884x = 66,800,537,764
  5. Step 5: Solve for x
    x = 66,800,537,764/119,884
  6. Step 6: Final answer
    x = 557,209.78

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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.