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Finding the Third Proportional to 133,114 and 290,790

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Solution

The third proportional to 133,114 and 290,790 is: 635,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114 : 290,790 = 290,790 : x
  2. Step 2: Convert to fraction form
    133,114/290,790 = 290,790/x
  3. Step 3: Cross multiply
    133,114x = 290,790 × 290,790
  4. Step 4: Simplify right side
    133,114x = 84,558,824,100
  5. Step 5: Solve for x
    x = 84,558,824,100/133,114
  6. Step 6: Final answer
    x = 635,236.14

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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.