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Finding the Third Proportional to 212,364 and 331,452

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Solution

The third proportional to 212,364 and 331,452 is: 517,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364 : 331,452 = 331,452 : x
  2. Step 2: Convert to fraction form
    212,364/331,452 = 331,452/x
  3. Step 3: Cross multiply
    212,364x = 331,452 × 331,452
  4. Step 4: Simplify right side
    212,364x = 109,860,428,304
  5. Step 5: Solve for x
    x = 109,860,428,304/212,364
  6. Step 6: Final answer
    x = 517,321.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.