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Finding the Third Proportional to 131,086 and 197,277

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Solution

The third proportional to 131,086 and 197,277 is: 296,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086 : 197,277 = 197,277 : x
  2. Step 2: Convert to fraction form
    131,086/197,277 = 197,277/x
  3. Step 3: Cross multiply
    131,086x = 197,277 × 197,277
  4. Step 4: Simplify right side
    131,086x = 38,918,214,729
  5. Step 5: Solve for x
    x = 38,918,214,729/131,086
  6. Step 6: Final answer
    x = 296,890.70

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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.