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Finding the Third Proportional to 183,239 and 397,812

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Solution

The third proportional to 183,239 and 397,812 is: 863,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,239 : 397,812 = 397,812 : x
  2. Step 2: Convert to fraction form
    183,239/397,812 = 397,812/x
  3. Step 3: Cross multiply
    183,239x = 397,812 × 397,812
  4. Step 4: Simplify right side
    183,239x = 158,254,387,344
  5. Step 5: Solve for x
    x = 158,254,387,344/183,239
  6. Step 6: Final answer
    x = 863,650.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.