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Finding the Third Proportional to 113,744 and 265,811

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Solution

The third proportional to 113,744 and 265,811 is: 621,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,744 : 265,811 = 265,811 : x
  2. Step 2: Convert to fraction form
    113,744/265,811 = 265,811/x
  3. Step 3: Cross multiply
    113,744x = 265,811 × 265,811
  4. Step 4: Simplify right side
    113,744x = 70,655,487,721
  5. Step 5: Solve for x
    x = 70,655,487,721/113,744
  6. Step 6: Final answer
    x = 621,179.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.