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Finding the Third Proportional to 182,074 and 284,995

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Solution

The third proportional to 182,074 and 284,995 is: 446,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,074 : 284,995 = 284,995 : x
  2. Step 2: Convert to fraction form
    182,074/284,995 = 284,995/x
  3. Step 3: Cross multiply
    182,074x = 284,995 × 284,995
  4. Step 4: Simplify right side
    182,074x = 81,222,150,025
  5. Step 5: Solve for x
    x = 81,222,150,025/182,074
  6. Step 6: Final answer
    x = 446,094.17

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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.