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Finding the Third Proportional to 196,823.25 and 295,182.75

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Solution

The third proportional to 196,823.25 and 295,182.75 is: 442,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,823.25 : 295,182.75 = 295,182.75 : x
  2. Step 2: Convert to fraction form
    196,823.25/295,182.75 = 295,182.75/x
  3. Step 3: Cross multiply
    196,823.25x = 295,182.75 × 295,182.75
  4. Step 4: Simplify right side
    196,823.25x = 87,132,855,897.56
  5. Step 5: Solve for x
    x = 87,132,855,897.56/196,823.25
  6. Step 6: Final answer
    x = 442,695.95

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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.