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Finding the Third Proportional to 103,726 and 211,257

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Solution

The third proportional to 103,726 and 211,257 is: 430,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,726 : 211,257 = 211,257 : x
  2. Step 2: Convert to fraction form
    103,726/211,257 = 211,257/x
  3. Step 3: Cross multiply
    103,726x = 211,257 × 211,257
  4. Step 4: Simplify right side
    103,726x = 44,629,520,049
  5. Step 5: Solve for x
    x = 44,629,520,049/103,726
  6. Step 6: Final answer
    x = 430,263.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.