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Finding the Third Proportional to 164,274 and 238,755

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Solution

The third proportional to 164,274 and 238,755 is: 347,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,274 : 238,755 = 238,755 : x
  2. Step 2: Convert to fraction form
    164,274/238,755 = 238,755/x
  3. Step 3: Cross multiply
    164,274x = 238,755 × 238,755
  4. Step 4: Simplify right side
    164,274x = 57,003,950,025
  5. Step 5: Solve for x
    x = 57,003,950,025/164,274
  6. Step 6: Final answer
    x = 347,005.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.