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Finding the Third Proportional to 160,296 and 344,208

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Solution

The third proportional to 160,296 and 344,208 is: 739,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,296 : 344,208 = 344,208 : x
  2. Step 2: Convert to fraction form
    160,296/344,208 = 344,208/x
  3. Step 3: Cross multiply
    160,296x = 344,208 × 344,208
  4. Step 4: Simplify right side
    160,296x = 118,479,147,264
  5. Step 5: Solve for x
    x = 118,479,147,264/160,296
  6. Step 6: Final answer
    x = 739,127.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.