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Finding the Third Proportional to 110,844 and 237,441

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Solution

The third proportional to 110,844 and 237,441 is: 508,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,844 : 237,441 = 237,441 : x
  2. Step 2: Convert to fraction form
    110,844/237,441 = 237,441/x
  3. Step 3: Cross multiply
    110,844x = 237,441 × 237,441
  4. Step 4: Simplify right side
    110,844x = 56,378,228,481
  5. Step 5: Solve for x
    x = 56,378,228,481/110,844
  6. Step 6: Final answer
    x = 508,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.