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Finding the Third Proportional to 116,648 and 258,175

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Solution

The third proportional to 116,648 and 258,175 is: 571,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,648 : 258,175 = 258,175 : x
  2. Step 2: Convert to fraction form
    116,648/258,175 = 258,175/x
  3. Step 3: Cross multiply
    116,648x = 258,175 × 258,175
  4. Step 4: Simplify right side
    116,648x = 66,654,330,625
  5. Step 5: Solve for x
    x = 66,654,330,625/116,648
  6. Step 6: Final answer
    x = 571,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.