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Finding the Third Proportional to 123,204 and 264,813

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Solution

The third proportional to 123,204 and 264,813 is: 569,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,204 : 264,813 = 264,813 : x
  2. Step 2: Convert to fraction form
    123,204/264,813 = 264,813/x
  3. Step 3: Cross multiply
    123,204x = 264,813 × 264,813
  4. Step 4: Simplify right side
    123,204x = 70,125,924,969
  5. Step 5: Solve for x
    x = 70,125,924,969/123,204
  6. Step 6: Final answer
    x = 569,185.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.