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Finding the Third Proportional to 160,110 and 251,156

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Solution

The third proportional to 160,110 and 251,156 is: 393,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,110 : 251,156 = 251,156 : x
  2. Step 2: Convert to fraction form
    160,110/251,156 = 251,156/x
  3. Step 3: Cross multiply
    160,110x = 251,156 × 251,156
  4. Step 4: Simplify right side
    160,110x = 63,079,336,336
  5. Step 5: Solve for x
    x = 63,079,336,336/160,110
  6. Step 6: Final answer
    x = 393,974.99

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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.