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Finding the Third Proportional to 131,024 and 197,619

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Solution

The third proportional to 131,024 and 197,619 is: 298,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,024 : 197,619 = 197,619 : x
  2. Step 2: Convert to fraction form
    131,024/197,619 = 197,619/x
  3. Step 3: Cross multiply
    131,024x = 197,619 × 197,619
  4. Step 4: Simplify right side
    131,024x = 39,053,269,161
  5. Step 5: Solve for x
    x = 39,053,269,161/131,024
  6. Step 6: Final answer
    x = 298,061.95

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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.