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Finding the Third Proportional to 182,329 and 276,009

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Solution

The third proportional to 182,329 and 276,009 is: 417,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,329 : 276,009 = 276,009 : x
  2. Step 2: Convert to fraction form
    182,329/276,009 = 276,009/x
  3. Step 3: Cross multiply
    182,329x = 276,009 × 276,009
  4. Step 4: Simplify right side
    182,329x = 76,180,968,081
  5. Step 5: Solve for x
    x = 76,180,968,081/182,329
  6. Step 6: Final answer
    x = 417,821.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.