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Finding the Third Proportional to 149,842 and 341,257

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Solution

The third proportional to 149,842 and 341,257 is: 777,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,842 : 341,257 = 341,257 : x
  2. Step 2: Convert to fraction form
    149,842/341,257 = 341,257/x
  3. Step 3: Cross multiply
    149,842x = 341,257 × 341,257
  4. Step 4: Simplify right side
    149,842x = 116,456,340,049
  5. Step 5: Solve for x
    x = 116,456,340,049/149,842
  6. Step 6: Final answer
    x = 777,194.24

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.