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Finding the Third Proportional to 241,395 and 354,698

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Solution

The third proportional to 241,395 and 354,698 is: 521,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395 : 354,698 = 354,698 : x
  2. Step 2: Convert to fraction form
    241,395/354,698 = 354,698/x
  3. Step 3: Cross multiply
    241,395x = 354,698 × 354,698
  4. Step 4: Simplify right side
    241,395x = 125,810,671,204
  5. Step 5: Solve for x
    x = 125,810,671,204/241,395
  6. Step 6: Final answer
    x = 521,181.76

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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.