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Finding the Third Proportional to 201,204 and 435,213

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Solution

The third proportional to 201,204 and 435,213 is: 941,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 435,213 = 435,213 : x
  2. Step 2: Convert to fraction form
    201,204/435,213 = 435,213/x
  3. Step 3: Cross multiply
    201,204x = 435,213 × 435,213
  4. Step 4: Simplify right side
    201,204x = 189,410,355,369
  5. Step 5: Solve for x
    x = 189,410,355,369/201,204
  6. Step 6: Final answer
    x = 941,384.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.