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Finding the Third Proportional to 116,286 and 251,166

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Solution

The third proportional to 116,286 and 251,166 is: 542,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,286 : 251,166 = 251,166 : x
  2. Step 2: Convert to fraction form
    116,286/251,166 = 251,166/x
  3. Step 3: Cross multiply
    116,286x = 251,166 × 251,166
  4. Step 4: Simplify right side
    116,286x = 63,084,359,556
  5. Step 5: Solve for x
    x = 63,084,359,556/116,286
  6. Step 6: Final answer
    x = 542,493.16

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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.