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Finding the Third Proportional to 122,844 and 264,580

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Solution

The third proportional to 122,844 and 264,580 is: 569,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,844 : 264,580 = 264,580 : x
  2. Step 2: Convert to fraction form
    122,844/264,580 = 264,580/x
  3. Step 3: Cross multiply
    122,844x = 264,580 × 264,580
  4. Step 4: Simplify right side
    122,844x = 70,002,576,400
  5. Step 5: Solve for x
    x = 70,002,576,400/122,844
  6. Step 6: Final answer
    x = 569,849.37

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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.