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Finding the Third Proportional to 116,274 and 251,132

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Solution

The third proportional to 116,274 and 251,132 is: 542,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,274 : 251,132 = 251,132 : x
  2. Step 2: Convert to fraction form
    116,274/251,132 = 251,132/x
  3. Step 3: Cross multiply
    116,274x = 251,132 × 251,132
  4. Step 4: Simplify right side
    116,274x = 63,067,281,424
  5. Step 5: Solve for x
    x = 63,067,281,424/116,274
  6. Step 6: Final answer
    x = 542,402.27

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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.