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Finding the Third Proportional to 183,505.50 and 376,245

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Solution

The third proportional to 183,505.50 and 376,245 is: 771,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,505.50 : 376,245 = 376,245 : x
  2. Step 2: Convert to fraction form
    183,505.50/376,245 = 376,245/x
  3. Step 3: Cross multiply
    183,505.50x = 376,245 × 376,245
  4. Step 4: Simplify right side
    183,505.50x = 141,560,300,025
  5. Step 5: Solve for x
    x = 141,560,300,025/183,505.50
  6. Step 6: Final answer
    x = 771,422.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.