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Finding the Third Proportional to 196,276.50 and 428,265

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Solution

The third proportional to 196,276.50 and 428,265 is: 934,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,276.50 : 428,265 = 428,265 : x
  2. Step 2: Convert to fraction form
    196,276.50/428,265 = 428,265/x
  3. Step 3: Cross multiply
    196,276.50x = 428,265 × 428,265
  4. Step 4: Simplify right side
    196,276.50x = 183,410,910,225
  5. Step 5: Solve for x
    x = 183,410,910,225/196,276.50
  6. Step 6: Final answer
    x = 934,451.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.