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Finding the Third Proportional to 160,380 and 347,976

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Solution

The third proportional to 160,380 and 347,976 is: 755,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,380 : 347,976 = 347,976 : x
  2. Step 2: Convert to fraction form
    160,380/347,976 = 347,976/x
  3. Step 3: Cross multiply
    160,380x = 347,976 × 347,976
  4. Step 4: Simplify right side
    160,380x = 121,087,296,576
  5. Step 5: Solve for x
    x = 121,087,296,576/160,380
  6. Step 6: Final answer
    x = 755,002.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.