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Finding the Third Proportional to 268,285 and 376,026

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Solution

The third proportional to 268,285 and 376,026 is: 527,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,285 : 376,026 = 376,026 : x
  2. Step 2: Convert to fraction form
    268,285/376,026 = 376,026/x
  3. Step 3: Cross multiply
    268,285x = 376,026 × 376,026
  4. Step 4: Simplify right side
    268,285x = 141,395,552,676
  5. Step 5: Solve for x
    x = 141,395,552,676/268,285
  6. Step 6: Final answer
    x = 527,034.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.