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Finding the Third Proportional to 178,538 and 236,945

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Solution

The third proportional to 178,538 and 236,945 is: 314,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538 : 236,945 = 236,945 : x
  2. Step 2: Convert to fraction form
    178,538/236,945 = 236,945/x
  3. Step 3: Cross multiply
    178,538x = 236,945 × 236,945
  4. Step 4: Simplify right side
    178,538x = 56,142,933,025
  5. Step 5: Solve for x
    x = 56,142,933,025/178,538
  6. Step 6: Final answer
    x = 314,459.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.