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Finding the Third Proportional to 160,114 and 251,162

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Solution

The third proportional to 160,114 and 251,162 is: 393,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,114 : 251,162 = 251,162 : x
  2. Step 2: Convert to fraction form
    160,114/251,162 = 251,162/x
  3. Step 3: Cross multiply
    160,114x = 251,162 × 251,162
  4. Step 4: Simplify right side
    160,114x = 63,082,350,244
  5. Step 5: Solve for x
    x = 63,082,350,244/160,114
  6. Step 6: Final answer
    x = 393,983.98

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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.