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Finding the Third Proportional to 133,092.07 and 290,270.60

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Solution

The third proportional to 133,092.07 and 290,270.60 is: 633,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092.07 : 290,270.60 = 290,270.60 : x
  2. Step 2: Convert to fraction form
    133,092.07/290,270.60 = 290,270.60/x
  3. Step 3: Cross multiply
    133,092.07x = 290,270.60 × 290,270.60
  4. Step 4: Simplify right side
    133,092.07x = 84,257,022,131.46
  5. Step 5: Solve for x
    x = 84,257,022,131.46/133,092.07
  6. Step 6: Final answer
    x = 633,073.19

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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.