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Finding the Third Proportional to 238,948 and 372,938

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Solution

The third proportional to 238,948 and 372,938 is: 582,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,948 : 372,938 = 372,938 : x
  2. Step 2: Convert to fraction form
    238,948/372,938 = 372,938/x
  3. Step 3: Cross multiply
    238,948x = 372,938 × 372,938
  4. Step 4: Simplify right side
    238,948x = 139,082,751,844
  5. Step 5: Solve for x
    x = 139,082,751,844/238,948
  6. Step 6: Final answer
    x = 582,062.84

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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.