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Finding the Third Proportional to 161,422 and 375,115

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Solution

The third proportional to 161,422 and 375,115 is: 871,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,422 : 375,115 = 375,115 : x
  2. Step 2: Convert to fraction form
    161,422/375,115 = 375,115/x
  3. Step 3: Cross multiply
    161,422x = 375,115 × 375,115
  4. Step 4: Simplify right side
    161,422x = 140,711,263,225
  5. Step 5: Solve for x
    x = 140,711,263,225/161,422
  6. Step 6: Final answer
    x = 871,698.18

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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.