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Finding the Third Proportional to 252,186 and 383,519

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Solution

The third proportional to 252,186 and 383,519 is: 583,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,186 : 383,519 = 383,519 : x
  2. Step 2: Convert to fraction form
    252,186/383,519 = 383,519/x
  3. Step 3: Cross multiply
    252,186x = 383,519 × 383,519
  4. Step 4: Simplify right side
    252,186x = 147,086,823,361
  5. Step 5: Solve for x
    x = 147,086,823,361/252,186
  6. Step 6: Final answer
    x = 583,247.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.