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Finding the Third Proportional to 161,001 and 236,578

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Solution

The third proportional to 161,001 and 236,578 is: 347,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,001 : 236,578 = 236,578 : x
  2. Step 2: Convert to fraction form
    161,001/236,578 = 236,578/x
  3. Step 3: Cross multiply
    161,001x = 236,578 × 236,578
  4. Step 4: Simplify right side
    161,001x = 55,969,150,084
  5. Step 5: Solve for x
    x = 55,969,150,084/161,001
  6. Step 6: Final answer
    x = 347,632.31

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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.