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Finding the Third Proportional to 116,354 and 251,274

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Solution

The third proportional to 116,354 and 251,274 is: 542,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,354 : 251,274 = 251,274 : x
  2. Step 2: Convert to fraction form
    116,354/251,274 = 251,274/x
  3. Step 3: Cross multiply
    116,354x = 251,274 × 251,274
  4. Step 4: Simplify right side
    116,354x = 63,138,623,076
  5. Step 5: Solve for x
    x = 63,138,623,076/116,354
  6. Step 6: Final answer
    x = 542,642.48

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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.