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Finding the Third Proportional to 122,247 and 257,799

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Solution

The third proportional to 122,247 and 257,799 is: 543,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,247 : 257,799 = 257,799 : x
  2. Step 2: Convert to fraction form
    122,247/257,799 = 257,799/x
  3. Step 3: Cross multiply
    122,247x = 257,799 × 257,799
  4. Step 4: Simplify right side
    122,247x = 66,460,324,401
  5. Step 5: Solve for x
    x = 66,460,324,401/122,247
  6. Step 6: Final answer
    x = 543,656.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.