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Finding the Third Proportional to 160,112 and 251,159

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Solution

The third proportional to 160,112 and 251,159 is: 393,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,112 : 251,159 = 251,159 : x
  2. Step 2: Convert to fraction form
    160,112/251,159 = 251,159/x
  3. Step 3: Cross multiply
    160,112x = 251,159 × 251,159
  4. Step 4: Simplify right side
    160,112x = 63,080,843,281
  5. Step 5: Solve for x
    x = 63,080,843,281/160,112
  6. Step 6: Final answer
    x = 393,979.48

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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.