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Finding the Third Proportional to 109,936 and 240,914

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Solution

The third proportional to 109,936 and 240,914 is: 527,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,936 : 240,914 = 240,914 : x
  2. Step 2: Convert to fraction form
    109,936/240,914 = 240,914/x
  3. Step 3: Cross multiply
    109,936x = 240,914 × 240,914
  4. Step 4: Simplify right side
    109,936x = 58,039,555,396
  5. Step 5: Solve for x
    x = 58,039,555,396/109,936
  6. Step 6: Final answer
    x = 527,939.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.