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Finding the Third Proportional to 194,554.50 and 423,183

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Solution

The third proportional to 194,554.50 and 423,183 is: 920,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,554.50 : 423,183 = 423,183 : x
  2. Step 2: Convert to fraction form
    194,554.50/423,183 = 423,183/x
  3. Step 3: Cross multiply
    194,554.50x = 423,183 × 423,183
  4. Step 4: Simplify right side
    194,554.50x = 179,083,851,489
  5. Step 5: Solve for x
    x = 179,083,851,489/194,554.50
  6. Step 6: Final answer
    x = 920,481.67

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Why These Related Problems?

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