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Finding the Third Proportional to 122,296 and 252,206

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Solution

The third proportional to 122,296 and 252,206 is: 520,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,296 : 252,206 = 252,206 : x
  2. Step 2: Convert to fraction form
    122,296/252,206 = 252,206/x
  3. Step 3: Cross multiply
    122,296x = 252,206 × 252,206
  4. Step 4: Simplify right side
    122,296x = 63,607,866,436
  5. Step 5: Solve for x
    x = 63,607,866,436/122,296
  6. Step 6: Final answer
    x = 520,114.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.