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Finding the Third Proportional to 173,870 and 248,167

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Solution

The third proportional to 173,870 and 248,167 is: 354,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,870 : 248,167 = 248,167 : x
  2. Step 2: Convert to fraction form
    173,870/248,167 = 248,167/x
  3. Step 3: Cross multiply
    173,870x = 248,167 × 248,167
  4. Step 4: Simplify right side
    173,870x = 61,586,859,889
  5. Step 5: Solve for x
    x = 61,586,859,889/173,870
  6. Step 6: Final answer
    x = 354,212.11

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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.