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Finding the Third Proportional to 103,329 and 223,182

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Solution

The third proportional to 103,329 and 223,182 is: 482,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,329 : 223,182 = 223,182 : x
  2. Step 2: Convert to fraction form
    103,329/223,182 = 223,182/x
  3. Step 3: Cross multiply
    103,329x = 223,182 × 223,182
  4. Step 4: Simplify right side
    103,329x = 49,810,205,124
  5. Step 5: Solve for x
    x = 49,810,205,124/103,329
  6. Step 6: Final answer
    x = 482,054.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.