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Finding the Third Proportional to 139,322 and 296,626

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Solution

The third proportional to 139,322 and 296,626 is: 631,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,322 : 296,626 = 296,626 : x
  2. Step 2: Convert to fraction form
    139,322/296,626 = 296,626/x
  3. Step 3: Cross multiply
    139,322x = 296,626 × 296,626
  4. Step 4: Simplify right side
    139,322x = 87,986,983,876
  5. Step 5: Solve for x
    x = 87,986,983,876/139,322
  6. Step 6: Final answer
    x = 631,536.90

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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.