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Finding the Third Proportional to 118,462 and 261,836

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Solution

The third proportional to 118,462 and 261,836 is: 578,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,462 : 261,836 = 261,836 : x
  2. Step 2: Convert to fraction form
    118,462/261,836 = 261,836/x
  3. Step 3: Cross multiply
    118,462x = 261,836 × 261,836
  4. Step 4: Simplify right side
    118,462x = 68,558,090,896
  5. Step 5: Solve for x
    x = 68,558,090,896/118,462
  6. Step 6: Final answer
    x = 578,734.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.