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Finding the Third Proportional to 183,285 and 403,848

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Solution

The third proportional to 183,285 and 403,848 is: 889,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,285 : 403,848 = 403,848 : x
  2. Step 2: Convert to fraction form
    183,285/403,848 = 403,848/x
  3. Step 3: Cross multiply
    183,285x = 403,848 × 403,848
  4. Step 4: Simplify right side
    183,285x = 163,093,207,104
  5. Step 5: Solve for x
    x = 163,093,207,104/183,285
  6. Step 6: Final answer
    x = 889,833.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.