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Finding the Third Proportional to 178,513.88 and 389,627.72

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Solution

The third proportional to 178,513.88 and 389,627.72 is: 850,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,513.88 : 389,627.72 = 389,627.72 : x
  2. Step 2: Convert to fraction form
    178,513.88/389,627.72 = 389,627.72/x
  3. Step 3: Cross multiply
    178,513.88x = 389,627.72 × 389,627.72
  4. Step 4: Simplify right side
    178,513.88x = 151,809,759,218.33
  5. Step 5: Solve for x
    x = 151,809,759,218.33/178,513.88
  6. Step 6: Final answer
    x = 850,408.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.