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Finding the Third Proportional to 122,715 and 264,762

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Solution

The third proportional to 122,715 and 264,762 is: 571,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715 : 264,762 = 264,762 : x
  2. Step 2: Convert to fraction form
    122,715/264,762 = 264,762/x
  3. Step 3: Cross multiply
    122,715x = 264,762 × 264,762
  4. Step 4: Simplify right side
    122,715x = 70,098,916,644
  5. Step 5: Solve for x
    x = 70,098,916,644/122,715
  6. Step 6: Final answer
    x = 571,233.48

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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.