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Finding the Third Proportional to 161,420 and 375,110

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Solution

The third proportional to 161,420 and 375,110 is: 871,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420 : 375,110 = 375,110 : x
  2. Step 2: Convert to fraction form
    161,420/375,110 = 375,110/x
  3. Step 3: Cross multiply
    161,420x = 375,110 × 375,110
  4. Step 4: Simplify right side
    161,420x = 140,707,512,100
  5. Step 5: Solve for x
    x = 140,707,512,100/161,420
  6. Step 6: Final answer
    x = 871,685.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.