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Finding the Third Proportional to 196,769.25 and 295,194.38

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Solution

The third proportional to 196,769.25 and 295,194.38 is: 442,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,769.25 : 295,194.38 = 295,194.38 : x
  2. Step 2: Convert to fraction form
    196,769.25/295,194.38 = 295,194.38/x
  3. Step 3: Cross multiply
    196,769.25x = 295,194.38 × 295,194.38
  4. Step 4: Simplify right side
    196,769.25x = 87,139,719,031.64
  5. Step 5: Solve for x
    x = 87,139,719,031.64/196,769.25
  6. Step 6: Final answer
    x = 442,852.32

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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.