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Finding the Third Proportional to 237,881 and 347,891

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Solution

The third proportional to 237,881 and 347,891 is: 508,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,881 : 347,891 = 347,891 : x
  2. Step 2: Convert to fraction form
    237,881/347,891 = 347,891/x
  3. Step 3: Cross multiply
    237,881x = 347,891 × 347,891
  4. Step 4: Simplify right side
    237,881x = 121,028,147,881
  5. Step 5: Solve for x
    x = 121,028,147,881/237,881
  6. Step 6: Final answer
    x = 508,776.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.