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Finding the Third Proportional to 230,996 and 338,498

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Solution

The third proportional to 230,996 and 338,498 is: 496,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,996 : 338,498 = 338,498 : x
  2. Step 2: Convert to fraction form
    230,996/338,498 = 338,498/x
  3. Step 3: Cross multiply
    230,996x = 338,498 × 338,498
  4. Step 4: Simplify right side
    230,996x = 114,580,896,004
  5. Step 5: Solve for x
    x = 114,580,896,004/230,996
  6. Step 6: Final answer
    x = 496,029.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.