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Finding the Third Proportional to 160,104 and 251,146

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Solution

The third proportional to 160,104 and 251,146 is: 393,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,104 : 251,146 = 251,146 : x
  2. Step 2: Convert to fraction form
    160,104/251,146 = 251,146/x
  3. Step 3: Cross multiply
    160,104x = 251,146 × 251,146
  4. Step 4: Simplify right side
    160,104x = 63,074,313,316
  5. Step 5: Solve for x
    x = 63,074,313,316/160,104
  6. Step 6: Final answer
    x = 393,958.39

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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.