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Finding the Third Proportional to 175,204 and 384,318

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Solution

The third proportional to 175,204 and 384,318 is: 843,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,204 : 384,318 = 384,318 : x
  2. Step 2: Convert to fraction form
    175,204/384,318 = 384,318/x
  3. Step 3: Cross multiply
    175,204x = 384,318 × 384,318
  4. Step 4: Simplify right side
    175,204x = 147,700,325,124
  5. Step 5: Solve for x
    x = 147,700,325,124/175,204
  6. Step 6: Final answer
    x = 843,019.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.