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Finding the Third Proportional to 194,581 and 422,376

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Solution

The third proportional to 194,581 and 422,376 is: 916,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,581 : 422,376 = 422,376 : x
  2. Step 2: Convert to fraction form
    194,581/422,376 = 422,376/x
  3. Step 3: Cross multiply
    194,581x = 422,376 × 422,376
  4. Step 4: Simplify right side
    194,581x = 178,401,485,376
  5. Step 5: Solve for x
    x = 178,401,485,376/194,581
  6. Step 6: Final answer
    x = 916,849.46

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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.