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Finding the Third Proportional to 196,894 and 295,277

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Solution

The third proportional to 196,894 and 295,277 is: 442,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,894 : 295,277 = 295,277 : x
  2. Step 2: Convert to fraction form
    196,894/295,277 = 295,277/x
  3. Step 3: Cross multiply
    196,894x = 295,277 × 295,277
  4. Step 4: Simplify right side
    196,894x = 87,188,506,729
  5. Step 5: Solve for x
    x = 87,188,506,729/196,894
  6. Step 6: Final answer
    x = 442,819.52

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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.