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Finding the Third Proportional to 84,244 and 183,925

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Solution

The third proportional to 84,244 and 183,925 is: 401,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,244 : 183,925 = 183,925 : x
  2. Step 2: Convert to fraction form
    84,244/183,925 = 183,925/x
  3. Step 3: Cross multiply
    84,244x = 183,925 × 183,925
  4. Step 4: Simplify right side
    84,244x = 33,828,405,625
  5. Step 5: Solve for x
    x = 33,828,405,625/84,244
  6. Step 6: Final answer
    x = 401,552.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.