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Finding the Third Proportional to 164,467 and 246,031

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Solution

The third proportional to 164,467 and 246,031 is: 368,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467 : 246,031 = 246,031 : x
  2. Step 2: Convert to fraction form
    164,467/246,031 = 246,031/x
  3. Step 3: Cross multiply
    164,467x = 246,031 × 246,031
  4. Step 4: Simplify right side
    164,467x = 60,531,252,961
  5. Step 5: Solve for x
    x = 60,531,252,961/164,467
  6. Step 6: Final answer
    x = 368,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.