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Finding the Third Proportional to 197,961 and 268,954.50

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Solution

The third proportional to 197,961 and 268,954.50 is: 365,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,961 : 268,954.50 = 268,954.50 : x
  2. Step 2: Convert to fraction form
    197,961/268,954.50 = 268,954.50/x
  3. Step 3: Cross multiply
    197,961x = 268,954.50 × 268,954.50
  4. Step 4: Simplify right side
    197,961x = 72,336,523,070.25
  5. Step 5: Solve for x
    x = 72,336,523,070.25/197,961
  6. Step 6: Final answer
    x = 365,407.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.