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Finding the Third Proportional to 151,381 and 356,846

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Solution

The third proportional to 151,381 and 356,846 is: 841,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381 : 356,846 = 356,846 : x
  2. Step 2: Convert to fraction form
    151,381/356,846 = 356,846/x
  3. Step 3: Cross multiply
    151,381x = 356,846 × 356,846
  4. Step 4: Simplify right side
    151,381x = 127,339,067,716
  5. Step 5: Solve for x
    x = 127,339,067,716/151,381
  6. Step 6: Final answer
    x = 841,182.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.