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Finding the Third Proportional to 161,252 and 248,144

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Solution

The third proportional to 161,252 and 248,144 is: 381,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,252 : 248,144 = 248,144 : x
  2. Step 2: Convert to fraction form
    161,252/248,144 = 248,144/x
  3. Step 3: Cross multiply
    161,252x = 248,144 × 248,144
  4. Step 4: Simplify right side
    161,252x = 61,575,444,736
  5. Step 5: Solve for x
    x = 61,575,444,736/161,252
  6. Step 6: Final answer
    x = 381,858.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.