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Finding the Third Proportional to 239,553 and 333,081

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Solution

The third proportional to 239,553 and 333,081 is: 463,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,553 : 333,081 = 333,081 : x
  2. Step 2: Convert to fraction form
    239,553/333,081 = 333,081/x
  3. Step 3: Cross multiply
    239,553x = 333,081 × 333,081
  4. Step 4: Simplify right side
    239,553x = 110,942,952,561
  5. Step 5: Solve for x
    x = 110,942,952,561/239,553
  6. Step 6: Final answer
    x = 463,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.