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Finding the Third Proportional to 122,206 and 255,583

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Solution

The third proportional to 122,206 and 255,583 is: 534,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,206 : 255,583 = 255,583 : x
  2. Step 2: Convert to fraction form
    122,206/255,583 = 255,583/x
  3. Step 3: Cross multiply
    122,206x = 255,583 × 255,583
  4. Step 4: Simplify right side
    122,206x = 65,322,669,889
  5. Step 5: Solve for x
    x = 65,322,669,889/122,206
  6. Step 6: Final answer
    x = 534,529.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.