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Finding the Third Proportional to 161,021 and 236,608

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Solution

The third proportional to 161,021 and 236,608 is: 347,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,021 : 236,608 = 236,608 : x
  2. Step 2: Convert to fraction form
    161,021/236,608 = 236,608/x
  3. Step 3: Cross multiply
    161,021x = 236,608 × 236,608
  4. Step 4: Simplify right side
    161,021x = 55,983,345,664
  5. Step 5: Solve for x
    x = 55,983,345,664/161,021
  6. Step 6: Final answer
    x = 347,677.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.