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Finding the Third Proportional to 119,889 and 258,456

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Solution

The third proportional to 119,889 and 258,456 is: 557,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,889 : 258,456 = 258,456 : x
  2. Step 2: Convert to fraction form
    119,889/258,456 = 258,456/x
  3. Step 3: Cross multiply
    119,889x = 258,456 × 258,456
  4. Step 4: Simplify right side
    119,889x = 66,799,503,936
  5. Step 5: Solve for x
    x = 66,799,503,936/119,889
  6. Step 6: Final answer
    x = 557,177.92

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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.