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Finding the Third Proportional to 160,026 and 350,175

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Solution

The third proportional to 160,026 and 350,175 is: 766,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,026 : 350,175 = 350,175 : x
  2. Step 2: Convert to fraction form
    160,026/350,175 = 350,175/x
  3. Step 3: Cross multiply
    160,026x = 350,175 × 350,175
  4. Step 4: Simplify right side
    160,026x = 122,622,530,625
  5. Step 5: Solve for x
    x = 122,622,530,625/160,026
  6. Step 6: Final answer
    x = 766,266.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.