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Finding the Third Proportional to 194,271 and 422,724

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Solution

The third proportional to 194,271 and 422,724 is: 919,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,271 : 422,724 = 422,724 : x
  2. Step 2: Convert to fraction form
    194,271/422,724 = 422,724/x
  3. Step 3: Cross multiply
    194,271x = 422,724 × 422,724
  4. Step 4: Simplify right side
    194,271x = 178,695,580,176
  5. Step 5: Solve for x
    x = 178,695,580,176/194,271
  6. Step 6: Final answer
    x = 919,826.33

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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.