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Finding the Third Proportional to 208,344 and 294,996

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Solution

The third proportional to 208,344 and 294,996 is: 417,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,344 : 294,996 = 294,996 : x
  2. Step 2: Convert to fraction form
    208,344/294,996 = 294,996/x
  3. Step 3: Cross multiply
    208,344x = 294,996 × 294,996
  4. Step 4: Simplify right side
    208,344x = 87,022,640,016
  5. Step 5: Solve for x
    x = 87,022,640,016/208,344
  6. Step 6: Final answer
    x = 417,687.29

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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.