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Finding the Third Proportional to 161,018 and 349,722

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Solution

The third proportional to 161,018 and 349,722 is: 759,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,018 : 349,722 = 349,722 : x
  2. Step 2: Convert to fraction form
    161,018/349,722 = 349,722/x
  3. Step 3: Cross multiply
    161,018x = 349,722 × 349,722
  4. Step 4: Simplify right side
    161,018x = 122,305,477,284
  5. Step 5: Solve for x
    x = 122,305,477,284/161,018
  6. Step 6: Final answer
    x = 759,576.43

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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.