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Finding the Third Proportional to 196,913.25 and 295,309.13

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Solution

The third proportional to 196,913.25 and 295,309.13 is: 442,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,913.25 : 295,309.13 = 295,309.13 : x
  2. Step 2: Convert to fraction form
    196,913.25/295,309.13 = 295,309.13/x
  3. Step 3: Cross multiply
    196,913.25x = 295,309.13 × 295,309.13
  4. Step 4: Simplify right side
    196,913.25x = 87,207,479,308.27
  5. Step 5: Solve for x
    x = 87,207,479,308.27/196,913.25
  6. Step 6: Final answer
    x = 442,872.58

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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.