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Finding the Third Proportional to 196,824.75 and 295,185.88

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Solution

The third proportional to 196,824.75 and 295,185.88 is: 442,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824.75 : 295,185.88 = 295,185.88 : x
  2. Step 2: Convert to fraction form
    196,824.75/295,185.88 = 295,185.88/x
  3. Step 3: Cross multiply
    196,824.75x = 295,185.88 × 295,185.88
  4. Step 4: Simplify right side
    196,824.75x = 87,134,700,799.52
  5. Step 5: Solve for x
    x = 87,134,700,799.52/196,824.75
  6. Step 6: Final answer
    x = 442,701.95

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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.