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Finding the Third Proportional to 115,756 and 234,731

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Solution

The third proportional to 115,756 and 234,731 is: 475,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,756 : 234,731 = 234,731 : x
  2. Step 2: Convert to fraction form
    115,756/234,731 = 234,731/x
  3. Step 3: Cross multiply
    115,756x = 234,731 × 234,731
  4. Step 4: Simplify right side
    115,756x = 55,098,642,361
  5. Step 5: Solve for x
    x = 55,098,642,361/115,756
  6. Step 6: Final answer
    x = 475,989.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.