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Finding the Third Proportional to 173,859 and 248,151

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Solution

The third proportional to 173,859 and 248,151 is: 354,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,859 : 248,151 = 248,151 : x
  2. Step 2: Convert to fraction form
    173,859/248,151 = 248,151/x
  3. Step 3: Cross multiply
    173,859x = 248,151 × 248,151
  4. Step 4: Simplify right side
    173,859x = 61,578,918,801
  5. Step 5: Solve for x
    x = 61,578,918,801/173,859
  6. Step 6: Final answer
    x = 354,188.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.