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Finding the Third Proportional to 196,876.50 and 420,742.50

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Solution

The third proportional to 196,876.50 and 420,742.50 is: 899,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,876.50 : 420,742.50 = 420,742.50 : x
  2. Step 2: Convert to fraction form
    196,876.50/420,742.50 = 420,742.50/x
  3. Step 3: Cross multiply
    196,876.50x = 420,742.50 × 420,742.50
  4. Step 4: Simplify right side
    196,876.50x = 177,024,251,306.25
  5. Step 5: Solve for x
    x = 177,024,251,306.25/196,876.50
  6. Step 6: Final answer
    x = 899,163.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.