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Finding the Third Proportional to 82,884.50 and 178,873

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Solution

The third proportional to 82,884.50 and 178,873 is: 386,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884.50 : 178,873 = 178,873 : x
  2. Step 2: Convert to fraction form
    82,884.50/178,873 = 178,873/x
  3. Step 3: Cross multiply
    82,884.50x = 178,873 × 178,873
  4. Step 4: Simplify right side
    82,884.50x = 31,995,550,129
  5. Step 5: Solve for x
    x = 31,995,550,129/82,884.50
  6. Step 6: Final answer
    x = 386,025.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.