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Finding the Third Proportional to 161,010 and 236,589

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Solution

The third proportional to 161,010 and 236,589 is: 347,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,010 : 236,589 = 236,589 : x
  2. Step 2: Convert to fraction form
    161,010/236,589 = 236,589/x
  3. Step 3: Cross multiply
    161,010x = 236,589 × 236,589
  4. Step 4: Simplify right side
    161,010x = 55,974,354,921
  5. Step 5: Solve for x
    x = 55,974,354,921/161,010
  6. Step 6: Final answer
    x = 347,645.21

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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.