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Finding the Third Proportional to 103,766 and 202,348

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Solution

The third proportional to 103,766 and 202,348 is: 394,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,766 : 202,348 = 202,348 : x
  2. Step 2: Convert to fraction form
    103,766/202,348 = 202,348/x
  3. Step 3: Cross multiply
    103,766x = 202,348 × 202,348
  4. Step 4: Simplify right side
    103,766x = 40,944,713,104
  5. Step 5: Solve for x
    x = 40,944,713,104/103,766
  6. Step 6: Final answer
    x = 394,586.99

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.