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Finding the Third Proportional to 237,918 and 382,509

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Solution

The third proportional to 237,918 and 382,509 is: 614,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,918 : 382,509 = 382,509 : x
  2. Step 2: Convert to fraction form
    237,918/382,509 = 382,509/x
  3. Step 3: Cross multiply
    237,918x = 382,509 × 382,509
  4. Step 4: Simplify right side
    237,918x = 146,313,135,081
  5. Step 5: Solve for x
    x = 146,313,135,081/237,918
  6. Step 6: Final answer
    x = 614,972.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.