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Finding the Third Proportional to 160,238 and 251,355

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Solution

The third proportional to 160,238 and 251,355 is: 394,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,238 : 251,355 = 251,355 : x
  2. Step 2: Convert to fraction form
    160,238/251,355 = 251,355/x
  3. Step 3: Cross multiply
    160,238x = 251,355 × 251,355
  4. Step 4: Simplify right side
    160,238x = 63,179,336,025
  5. Step 5: Solve for x
    x = 63,179,336,025/160,238
  6. Step 6: Final answer
    x = 394,284.35

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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.