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Finding the Third Proportional to 178,297.25 and 276,968

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Solution

The third proportional to 178,297.25 and 276,968 is: 430,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,297.25 : 276,968 = 276,968 : x
  2. Step 2: Convert to fraction form
    178,297.25/276,968 = 276,968/x
  3. Step 3: Cross multiply
    178,297.25x = 276,968 × 276,968
  4. Step 4: Simplify right side
    178,297.25x = 76,711,273,024
  5. Step 5: Solve for x
    x = 76,711,273,024/178,297.25
  6. Step 6: Final answer
    x = 430,243.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.