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Finding the Third Proportional to 110,204 and 237,900

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Solution

The third proportional to 110,204 and 237,900 is: 513,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,204 : 237,900 = 237,900 : x
  2. Step 2: Convert to fraction form
    110,204/237,900 = 237,900/x
  3. Step 3: Cross multiply
    110,204x = 237,900 × 237,900
  4. Step 4: Simplify right side
    110,204x = 56,596,410,000
  5. Step 5: Solve for x
    x = 56,596,410,000/110,204
  6. Step 6: Final answer
    x = 513,560.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.