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Finding the Third Proportional to 161,467 and 350,150

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Solution

The third proportional to 161,467 and 350,150 is: 759,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,467 : 350,150 = 350,150 : x
  2. Step 2: Convert to fraction form
    161,467/350,150 = 350,150/x
  3. Step 3: Cross multiply
    161,467x = 350,150 × 350,150
  4. Step 4: Simplify right side
    161,467x = 122,605,022,500
  5. Step 5: Solve for x
    x = 122,605,022,500/161,467
  6. Step 6: Final answer
    x = 759,319.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.