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Finding the Third Proportional to 160,118 and 251,168

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Solution

The third proportional to 160,118 and 251,168 is: 393,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,118 : 251,168 = 251,168 : x
  2. Step 2: Convert to fraction form
    160,118/251,168 = 251,168/x
  3. Step 3: Cross multiply
    160,118x = 251,168 × 251,168
  4. Step 4: Simplify right side
    160,118x = 63,085,364,224
  5. Step 5: Solve for x
    x = 63,085,364,224/160,118
  6. Step 6: Final answer
    x = 393,992.96

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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.