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Finding the Third Proportional to 155,601 and 234,831

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Solution

The third proportional to 155,601 and 234,831 is: 354,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,601 : 234,831 = 234,831 : x
  2. Step 2: Convert to fraction form
    155,601/234,831 = 234,831/x
  3. Step 3: Cross multiply
    155,601x = 234,831 × 234,831
  4. Step 4: Simplify right side
    155,601x = 55,145,598,561
  5. Step 5: Solve for x
    x = 55,145,598,561/155,601
  6. Step 6: Final answer
    x = 354,403.88

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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.