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Finding the Third Proportional to 160,188 and 340,128

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Solution

The third proportional to 160,188 and 340,128 is: 722,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,188 : 340,128 = 340,128 : x
  2. Step 2: Convert to fraction form
    160,188/340,128 = 340,128/x
  3. Step 3: Cross multiply
    160,188x = 340,128 × 340,128
  4. Step 4: Simplify right side
    160,188x = 115,687,056,384
  5. Step 5: Solve for x
    x = 115,687,056,384/160,188
  6. Step 6: Final answer
    x = 722,195.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.