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Finding the Third Proportional to 164,736 and 250,656

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Solution

The third proportional to 164,736 and 250,656 is: 381,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,736 : 250,656 = 250,656 : x
  2. Step 2: Convert to fraction form
    164,736/250,656 = 250,656/x
  3. Step 3: Cross multiply
    164,736x = 250,656 × 250,656
  4. Step 4: Simplify right side
    164,736x = 62,828,430,336
  5. Step 5: Solve for x
    x = 62,828,430,336/164,736
  6. Step 6: Final answer
    x = 381,388.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.