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Finding the Third Proportional to 160,116 and 251,165

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Solution

The third proportional to 160,116 and 251,165 is: 393,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,116 : 251,165 = 251,165 : x
  2. Step 2: Convert to fraction form
    160,116/251,165 = 251,165/x
  3. Step 3: Cross multiply
    160,116x = 251,165 × 251,165
  4. Step 4: Simplify right side
    160,116x = 63,083,857,225
  5. Step 5: Solve for x
    x = 63,083,857,225/160,116
  6. Step 6: Final answer
    x = 393,988.47

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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.