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Finding the Third Proportional to 178,036 and 277,266

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Solution

The third proportional to 178,036 and 277,266 is: 431,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,036 : 277,266 = 277,266 : x
  2. Step 2: Convert to fraction form
    178,036/277,266 = 277,266/x
  3. Step 3: Cross multiply
    178,036x = 277,266 × 277,266
  4. Step 4: Simplify right side
    178,036x = 76,876,434,756
  5. Step 5: Solve for x
    x = 76,876,434,756/178,036
  6. Step 6: Final answer
    x = 431,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.