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Finding the Third Proportional to 182,072 and 284,992

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Solution

The third proportional to 182,072 and 284,992 is: 446,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,072 : 284,992 = 284,992 : x
  2. Step 2: Convert to fraction form
    182,072/284,992 = 284,992/x
  3. Step 3: Cross multiply
    182,072x = 284,992 × 284,992
  4. Step 4: Simplify right side
    182,072x = 81,220,440,064
  5. Step 5: Solve for x
    x = 81,220,440,064/182,072
  6. Step 6: Final answer
    x = 446,089.68

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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.