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Finding the Third Proportional to 122,204 and 256,089

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Solution

The third proportional to 122,204 and 256,089 is: 536,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,204 : 256,089 = 256,089 : x
  2. Step 2: Convert to fraction form
    122,204/256,089 = 256,089/x
  3. Step 3: Cross multiply
    122,204x = 256,089 × 256,089
  4. Step 4: Simplify right side
    122,204x = 65,581,575,921
  5. Step 5: Solve for x
    x = 65,581,575,921/122,204
  6. Step 6: Final answer
    x = 536,656.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.