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Finding the Third Proportional to 182,944 and 395,048

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Solution

The third proportional to 182,944 and 395,048 is: 853,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,944 : 395,048 = 395,048 : x
  2. Step 2: Convert to fraction form
    182,944/395,048 = 395,048/x
  3. Step 3: Cross multiply
    182,944x = 395,048 × 395,048
  4. Step 4: Simplify right side
    182,944x = 156,062,922,304
  5. Step 5: Solve for x
    x = 156,062,922,304/182,944
  6. Step 6: Final answer
    x = 853,063.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.