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Finding the Third Proportional to 133,109 and 290,890

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Solution

The third proportional to 133,109 and 290,890 is: 635,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,109 : 290,890 = 290,890 : x
  2. Step 2: Convert to fraction form
    133,109/290,890 = 290,890/x
  3. Step 3: Cross multiply
    133,109x = 290,890 × 290,890
  4. Step 4: Simplify right side
    133,109x = 84,616,992,100
  5. Step 5: Solve for x
    x = 84,616,992,100/133,109
  6. Step 6: Final answer
    x = 635,697.00

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