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Finding the Third Proportional to 196,892 and 295,278

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Solution

The third proportional to 196,892 and 295,278 is: 442,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892 : 295,278 = 295,278 : x
  2. Step 2: Convert to fraction form
    196,892/295,278 = 295,278/x
  3. Step 3: Cross multiply
    196,892x = 295,278 × 295,278
  4. Step 4: Simplify right side
    196,892x = 87,189,097,284
  5. Step 5: Solve for x
    x = 87,189,097,284/196,892
  6. Step 6: Final answer
    x = 442,827.02

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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.