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Finding the Third Proportional to 182,327 and 276,006

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Solution

The third proportional to 182,327 and 276,006 is: 417,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,327 : 276,006 = 276,006 : x
  2. Step 2: Convert to fraction form
    182,327/276,006 = 276,006/x
  3. Step 3: Cross multiply
    182,327x = 276,006 × 276,006
  4. Step 4: Simplify right side
    182,327x = 76,179,312,036
  5. Step 5: Solve for x
    x = 76,179,312,036/182,327
  6. Step 6: Final answer
    x = 417,816.96

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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.