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Finding the Third Proportional to 133,094 and 290,274

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Solution

The third proportional to 133,094 and 290,274 is: 633,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094 : 290,274 = 290,274 : x
  2. Step 2: Convert to fraction form
    133,094/290,274 = 290,274/x
  3. Step 3: Cross multiply
    133,094x = 290,274 × 290,274
  4. Step 4: Simplify right side
    133,094x = 84,258,995,076
  5. Step 5: Solve for x
    x = 84,258,995,076/133,094
  6. Step 6: Final answer
    x = 633,078.84

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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.