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Finding the Third Proportional to 133,096 and 290,848

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Solution

The third proportional to 133,096 and 290,848 is: 635,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 290,848 = 290,848 : x
  2. Step 2: Convert to fraction form
    133,096/290,848 = 290,848/x
  3. Step 3: Cross multiply
    133,096x = 290,848 × 290,848
  4. Step 4: Simplify right side
    133,096x = 84,592,559,104
  5. Step 5: Solve for x
    x = 84,592,559,104/133,096
  6. Step 6: Final answer
    x = 635,575.52

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Why These Related Problems?

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