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Finding the Third Proportional to 197,280 and 279,146

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Solution

The third proportional to 197,280 and 279,146 is: 394,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,280 : 279,146 = 279,146 : x
  2. Step 2: Convert to fraction form
    197,280/279,146 = 279,146/x
  3. Step 3: Cross multiply
    197,280x = 279,146 × 279,146
  4. Step 4: Simplify right side
    197,280x = 77,922,489,316
  5. Step 5: Solve for x
    x = 77,922,489,316/197,280
  6. Step 6: Final answer
    x = 394,984.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.