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Finding the Third Proportional to 151,427 and 227,505

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Solution

The third proportional to 151,427 and 227,505 is: 341,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,427 : 227,505 = 227,505 : x
  2. Step 2: Convert to fraction form
    151,427/227,505 = 227,505/x
  3. Step 3: Cross multiply
    151,427x = 227,505 × 227,505
  4. Step 4: Simplify right side
    151,427x = 51,758,525,025
  5. Step 5: Solve for x
    x = 51,758,525,025/151,427
  6. Step 6: Final answer
    x = 341,805.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.