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Finding the Third Proportional to 151,310 and 227,617

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Solution

The third proportional to 151,310 and 227,617 is: 342,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,310 : 227,617 = 227,617 : x
  2. Step 2: Convert to fraction form
    151,310/227,617 = 227,617/x
  3. Step 3: Cross multiply
    151,310x = 227,617 × 227,617
  4. Step 4: Simplify right side
    151,310x = 51,809,498,689
  5. Step 5: Solve for x
    x = 51,809,498,689/151,310
  6. Step 6: Final answer
    x = 342,406.31

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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.