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Finding the Third Proportional to 139,419 and 296,811

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Solution

The third proportional to 139,419 and 296,811 is: 631,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,419 : 296,811 = 296,811 : x
  2. Step 2: Convert to fraction form
    139,419/296,811 = 296,811/x
  3. Step 3: Cross multiply
    139,419x = 296,811 × 296,811
  4. Step 4: Simplify right side
    139,419x = 88,096,769,721
  5. Step 5: Solve for x
    x = 88,096,769,721/139,419
  6. Step 6: Final answer
    x = 631,884.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.