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Finding the Third Proportional to 103,682 and 229,252

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Solution

The third proportional to 103,682 and 229,252 is: 506,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 229,252 = 229,252 : x
  2. Step 2: Convert to fraction form
    103,682/229,252 = 229,252/x
  3. Step 3: Cross multiply
    103,682x = 229,252 × 229,252
  4. Step 4: Simplify right side
    103,682x = 52,556,479,504
  5. Step 5: Solve for x
    x = 52,556,479,504/103,682
  6. Step 6: Final answer
    x = 506,900.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.