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Finding the Third Proportional to 133,158 and 285,900

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Solution

The third proportional to 133,158 and 285,900 is: 613,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,158 : 285,900 = 285,900 : x
  2. Step 2: Convert to fraction form
    133,158/285,900 = 285,900/x
  3. Step 3: Cross multiply
    133,158x = 285,900 × 285,900
  4. Step 4: Simplify right side
    133,158x = 81,738,810,000
  5. Step 5: Solve for x
    x = 81,738,810,000/133,158
  6. Step 6: Final answer
    x = 613,848.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.