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Finding the Third Proportional to 194,803.50 and 422,823

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Solution

The third proportional to 194,803.50 and 422,823 is: 917,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.50 : 422,823 = 422,823 : x
  2. Step 2: Convert to fraction form
    194,803.50/422,823 = 422,823/x
  3. Step 3: Cross multiply
    194,803.50x = 422,823 × 422,823
  4. Step 4: Simplify right side
    194,803.50x = 178,779,289,329
  5. Step 5: Solve for x
    x = 178,779,289,329/194,803.50
  6. Step 6: Final answer
    x = 917,741.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.