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Finding the Third Proportional to 221,139 and 331,361

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Solution

The third proportional to 221,139 and 331,361 is: 496,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,139 : 331,361 = 331,361 : x
  2. Step 2: Convert to fraction form
    221,139/331,361 = 331,361/x
  3. Step 3: Cross multiply
    221,139x = 331,361 × 331,361
  4. Step 4: Simplify right side
    221,139x = 109,800,112,321
  5. Step 5: Solve for x
    x = 109,800,112,321/221,139
  6. Step 6: Final answer
    x = 496,520.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.