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Finding the Third Proportional to 131,084 and 197,700

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Solution

The third proportional to 131,084 and 197,700 is: 298,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,084 : 197,700 = 197,700 : x
  2. Step 2: Convert to fraction form
    131,084/197,700 = 197,700/x
  3. Step 3: Cross multiply
    131,084x = 197,700 × 197,700
  4. Step 4: Simplify right side
    131,084x = 39,085,290,000
  5. Step 5: Solve for x
    x = 39,085,290,000/131,084
  6. Step 6: Final answer
    x = 298,169.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.