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Finding the Third Proportional to 178,974 and 385,983

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Solution

The third proportional to 178,974 and 385,983 is: 832,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,974 : 385,983 = 385,983 : x
  2. Step 2: Convert to fraction form
    178,974/385,983 = 385,983/x
  3. Step 3: Cross multiply
    178,974x = 385,983 × 385,983
  4. Step 4: Simplify right side
    178,974x = 148,982,876,289
  5. Step 5: Solve for x
    x = 148,982,876,289/178,974
  6. Step 6: Final answer
    x = 832,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.