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Finding the Third Proportional to 178,112 and 374,667

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Solution

The third proportional to 178,112 and 374,667 is: 788,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,112 : 374,667 = 374,667 : x
  2. Step 2: Convert to fraction form
    178,112/374,667 = 374,667/x
  3. Step 3: Cross multiply
    178,112x = 374,667 × 374,667
  4. Step 4: Simplify right side
    178,112x = 140,375,360,889
  5. Step 5: Solve for x
    x = 140,375,360,889/178,112
  6. Step 6: Final answer
    x = 788,129.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.