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Finding the Third Proportional to 161,094 and 379,059

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Solution

The third proportional to 161,094 and 379,059 is: 891,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,094 : 379,059 = 379,059 : x
  2. Step 2: Convert to fraction form
    161,094/379,059 = 379,059/x
  3. Step 3: Cross multiply
    161,094x = 379,059 × 379,059
  4. Step 4: Simplify right side
    161,094x = 143,685,725,481
  5. Step 5: Solve for x
    x = 143,685,725,481/161,094
  6. Step 6: Final answer
    x = 891,937.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.