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Finding the Third Proportional to 122,262 and 267,852

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Solution

The third proportional to 122,262 and 267,852 is: 586,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,262 : 267,852 = 267,852 : x
  2. Step 2: Convert to fraction form
    122,262/267,852 = 267,852/x
  3. Step 3: Cross multiply
    122,262x = 267,852 × 267,852
  4. Step 4: Simplify right side
    122,262x = 71,744,693,904
  5. Step 5: Solve for x
    x = 71,744,693,904/122,262
  6. Step 6: Final answer
    x = 586,811.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.