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Finding the Third Proportional to 116,415 and 251,194

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Solution

The third proportional to 116,415 and 251,194 is: 542,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415 : 251,194 = 251,194 : x
  2. Step 2: Convert to fraction form
    116,415/251,194 = 251,194/x
  3. Step 3: Cross multiply
    116,415x = 251,194 × 251,194
  4. Step 4: Simplify right side
    116,415x = 63,098,425,636
  5. Step 5: Solve for x
    x = 63,098,425,636/116,415
  6. Step 6: Final answer
    x = 542,012.85

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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.