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Finding the Third Proportional to 237,435 and 339,510

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Solution

The third proportional to 237,435 and 339,510 is: 485,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,435 : 339,510 = 339,510 : x
  2. Step 2: Convert to fraction form
    237,435/339,510 = 339,510/x
  3. Step 3: Cross multiply
    237,435x = 339,510 × 339,510
  4. Step 4: Simplify right side
    237,435x = 115,267,040,100
  5. Step 5: Solve for x
    x = 115,267,040,100/237,435
  6. Step 6: Final answer
    x = 485,467.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.