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Finding the Third Proportional to 163,904 and 250,232

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Solution

The third proportional to 163,904 and 250,232 is: 382,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,904 : 250,232 = 250,232 : x
  2. Step 2: Convert to fraction form
    163,904/250,232 = 250,232/x
  3. Step 3: Cross multiply
    163,904x = 250,232 × 250,232
  4. Step 4: Simplify right side
    163,904x = 62,616,053,824
  5. Step 5: Solve for x
    x = 62,616,053,824/163,904
  6. Step 6: Final answer
    x = 382,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.