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Finding the Third Proportional to 133,091 and 290,765

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Solution

The third proportional to 133,091 and 290,765 is: 635,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 290,765 = 290,765 : x
  2. Step 2: Convert to fraction form
    133,091/290,765 = 290,765/x
  3. Step 3: Cross multiply
    133,091x = 290,765 × 290,765
  4. Step 4: Simplify right side
    133,091x = 84,544,285,225
  5. Step 5: Solve for x
    x = 84,544,285,225/133,091
  6. Step 6: Final answer
    x = 635,236.68

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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.