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Finding the Third Proportional to 178,708.50 and 384,876

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Solution

The third proportional to 178,708.50 and 384,876 is: 828,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,708.50 : 384,876 = 384,876 : x
  2. Step 2: Convert to fraction form
    178,708.50/384,876 = 384,876/x
  3. Step 3: Cross multiply
    178,708.50x = 384,876 × 384,876
  4. Step 4: Simplify right side
    178,708.50x = 148,129,535,376
  5. Step 5: Solve for x
    x = 148,129,535,376/178,708.50
  6. Step 6: Final answer
    x = 828,889.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.