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Finding the Third Proportional to 244,936 and 346,680

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Solution

The third proportional to 244,936 and 346,680 is: 490,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,936 : 346,680 = 346,680 : x
  2. Step 2: Convert to fraction form
    244,936/346,680 = 346,680/x
  3. Step 3: Cross multiply
    244,936x = 346,680 × 346,680
  4. Step 4: Simplify right side
    244,936x = 120,187,022,400
  5. Step 5: Solve for x
    x = 120,187,022,400/244,936
  6. Step 6: Final answer
    x = 490,687.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.