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Finding the Third Proportional to 243,193 and 363,818

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Solution

The third proportional to 243,193 and 363,818 is: 544,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,193 : 363,818 = 363,818 : x
  2. Step 2: Convert to fraction form
    243,193/363,818 = 363,818/x
  3. Step 3: Cross multiply
    243,193x = 363,818 × 363,818
  4. Step 4: Simplify right side
    243,193x = 132,363,537,124
  5. Step 5: Solve for x
    x = 132,363,537,124/243,193
  6. Step 6: Final answer
    x = 544,273.63

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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.