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Finding the Third Proportional to 196,826 and 295,186

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Solution

The third proportional to 196,826 and 295,186 is: 442,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,826 : 295,186 = 295,186 : x
  2. Step 2: Convert to fraction form
    196,826/295,186 = 295,186/x
  3. Step 3: Cross multiply
    196,826x = 295,186 × 295,186
  4. Step 4: Simplify right side
    196,826x = 87,134,774,596
  5. Step 5: Solve for x
    x = 87,134,774,596/196,826
  6. Step 6: Final answer
    x = 442,699.51

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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.