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Finding the Third Proportional to 182,115 and 276,453

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Solution

The third proportional to 182,115 and 276,453 is: 419,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,115 : 276,453 = 276,453 : x
  2. Step 2: Convert to fraction form
    182,115/276,453 = 276,453/x
  3. Step 3: Cross multiply
    182,115x = 276,453 × 276,453
  4. Step 4: Simplify right side
    182,115x = 76,426,261,209
  5. Step 5: Solve for x
    x = 76,426,261,209/182,115
  6. Step 6: Final answer
    x = 419,659.34

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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.