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Finding the Third Proportional to 194,260 and 422,702

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Solution

The third proportional to 194,260 and 422,702 is: 919,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,260 : 422,702 = 422,702 : x
  2. Step 2: Convert to fraction form
    194,260/422,702 = 422,702/x
  3. Step 3: Cross multiply
    194,260x = 422,702 × 422,702
  4. Step 4: Simplify right side
    194,260x = 178,676,980,804
  5. Step 5: Solve for x
    x = 178,676,980,804/194,260
  6. Step 6: Final answer
    x = 919,782.67

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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.