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Finding the Third Proportional to 133,274 and 200,295

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Solution

The third proportional to 133,274 and 200,295 is: 301,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,274 : 200,295 = 200,295 : x
  2. Step 2: Convert to fraction form
    133,274/200,295 = 200,295/x
  3. Step 3: Cross multiply
    133,274x = 200,295 × 200,295
  4. Step 4: Simplify right side
    133,274x = 40,118,087,025
  5. Step 5: Solve for x
    x = 40,118,087,025/133,274
  6. Step 6: Final answer
    x = 301,019.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.