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Finding the Third Proportional to 239,525 and 333,039

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Solution

The third proportional to 239,525 and 333,039 is: 463,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,525 : 333,039 = 333,039 : x
  2. Step 2: Convert to fraction form
    239,525/333,039 = 333,039/x
  3. Step 3: Cross multiply
    239,525x = 333,039 × 333,039
  4. Step 4: Simplify right side
    239,525x = 110,914,975,521
  5. Step 5: Solve for x
    x = 110,914,975,521/239,525
  6. Step 6: Final answer
    x = 463,062.21

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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.