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Finding the Third Proportional to 178,627 and 238,122

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Solution

The third proportional to 178,627 and 238,122 is: 317,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,627 : 238,122 = 238,122 : x
  2. Step 2: Convert to fraction form
    178,627/238,122 = 238,122/x
  3. Step 3: Cross multiply
    178,627x = 238,122 × 238,122
  4. Step 4: Simplify right side
    178,627x = 56,702,086,884
  5. Step 5: Solve for x
    x = 56,702,086,884/178,627
  6. Step 6: Final answer
    x = 317,432.90

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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.