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Finding the Third Proportional to 161,811 and 244,971

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Solution

The third proportional to 161,811 and 244,971 is: 370,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,811 : 244,971 = 244,971 : x
  2. Step 2: Convert to fraction form
    161,811/244,971 = 244,971/x
  3. Step 3: Cross multiply
    161,811x = 244,971 × 244,971
  4. Step 4: Simplify right side
    161,811x = 60,010,790,841
  5. Step 5: Solve for x
    x = 60,010,790,841/161,811
  6. Step 6: Final answer
    x = 370,869.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.