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Finding the Third Proportional to 76,483 and 179,946

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Solution

The third proportional to 76,483 and 179,946 is: 423,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483 : 179,946 = 179,946 : x
  2. Step 2: Convert to fraction form
    76,483/179,946 = 179,946/x
  3. Step 3: Cross multiply
    76,483x = 179,946 × 179,946
  4. Step 4: Simplify right side
    76,483x = 32,380,562,916
  5. Step 5: Solve for x
    x = 32,380,562,916/76,483
  6. Step 6: Final answer
    x = 423,369.41

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.