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Finding the Third Proportional to 203,086 and 297,696

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Solution

The third proportional to 203,086 and 297,696 is: 436,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,086 : 297,696 = 297,696 : x
  2. Step 2: Convert to fraction form
    203,086/297,696 = 297,696/x
  3. Step 3: Cross multiply
    203,086x = 297,696 × 297,696
  4. Step 4: Simplify right side
    203,086x = 88,622,908,416
  5. Step 5: Solve for x
    x = 88,622,908,416/203,086
  6. Step 6: Final answer
    x = 436,381.18

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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.