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Finding the Third Proportional to 143,402 and 227,759

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Solution

The third proportional to 143,402 and 227,759 is: 361,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,402 : 227,759 = 227,759 : x
  2. Step 2: Convert to fraction form
    143,402/227,759 = 227,759/x
  3. Step 3: Cross multiply
    143,402x = 227,759 × 227,759
  4. Step 4: Simplify right side
    143,402x = 51,874,162,081
  5. Step 5: Solve for x
    x = 51,874,162,081/143,402
  6. Step 6: Final answer
    x = 361,739.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.