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Finding the Third Proportional to 122,671 and 264,684

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Solution

The third proportional to 122,671 and 264,684 is: 571,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,671 : 264,684 = 264,684 : x
  2. Step 2: Convert to fraction form
    122,671/264,684 = 264,684/x
  3. Step 3: Cross multiply
    122,671x = 264,684 × 264,684
  4. Step 4: Simplify right side
    122,671x = 70,057,619,856
  5. Step 5: Solve for x
    x = 70,057,619,856/122,671
  6. Step 6: Final answer
    x = 571,101.73

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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.