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Finding the Third Proportional to 137,296 and 300,836

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Solution

The third proportional to 137,296 and 300,836 is: 659,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296 : 300,836 = 300,836 : x
  2. Step 2: Convert to fraction form
    137,296/300,836 = 300,836/x
  3. Step 3: Cross multiply
    137,296x = 300,836 × 300,836
  4. Step 4: Simplify right side
    137,296x = 90,502,298,896
  5. Step 5: Solve for x
    x = 90,502,298,896/137,296
  6. Step 6: Final answer
    x = 659,176.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.