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Finding the Third Proportional to 139,406 and 296,794

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Solution

The third proportional to 139,406 and 296,794 is: 631,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406 : 296,794 = 296,794 : x
  2. Step 2: Convert to fraction form
    139,406/296,794 = 296,794/x
  3. Step 3: Cross multiply
    139,406x = 296,794 × 296,794
  4. Step 4: Simplify right side
    139,406x = 88,086,678,436
  5. Step 5: Solve for x
    x = 88,086,678,436/139,406
  6. Step 6: Final answer
    x = 631,871.50

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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.