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Finding the Third Proportional to 182,036 and 284,944

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Solution

The third proportional to 182,036 and 284,944 is: 446,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,036 : 284,944 = 284,944 : x
  2. Step 2: Convert to fraction form
    182,036/284,944 = 284,944/x
  3. Step 3: Cross multiply
    182,036x = 284,944 × 284,944
  4. Step 4: Simplify right side
    182,036x = 81,193,083,136
  5. Step 5: Solve for x
    x = 81,193,083,136/182,036
  6. Step 6: Final answer
    x = 446,027.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.