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Finding the Third Proportional to 196,834.50 and 295,197.75

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Solution

The third proportional to 196,834.50 and 295,197.75 is: 442,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,834.50 : 295,197.75 = 295,197.75 : x
  2. Step 2: Convert to fraction form
    196,834.50/295,197.75 = 295,197.75/x
  3. Step 3: Cross multiply
    196,834.50x = 295,197.75 × 295,197.75
  4. Step 4: Simplify right side
    196,834.50x = 87,141,711,605.06
  5. Step 5: Solve for x
    x = 87,141,711,605.06/196,834.50
  6. Step 6: Final answer
    x = 442,715.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.