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Finding the Third Proportional to 160,231 and 251,345

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Solution

The third proportional to 160,231 and 251,345 is: 394,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,231 : 251,345 = 251,345 : x
  2. Step 2: Convert to fraction form
    160,231/251,345 = 251,345/x
  3. Step 3: Cross multiply
    160,231x = 251,345 × 251,345
  4. Step 4: Simplify right side
    160,231x = 63,174,309,025
  5. Step 5: Solve for x
    x = 63,174,309,025/160,231
  6. Step 6: Final answer
    x = 394,270.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.