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Finding the Third Proportional to 109,786 and 244,814

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Solution

The third proportional to 109,786 and 244,814 is: 545,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,786 : 244,814 = 244,814 : x
  2. Step 2: Convert to fraction form
    109,786/244,814 = 244,814/x
  3. Step 3: Cross multiply
    109,786x = 244,814 × 244,814
  4. Step 4: Simplify right side
    109,786x = 59,933,894,596
  5. Step 5: Solve for x
    x = 59,933,894,596/109,786
  6. Step 6: Final answer
    x = 545,915.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.