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Finding the Third Proportional to 166,289 and 376,967

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Solution

The third proportional to 166,289 and 376,967 is: 854,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,289 : 376,967 = 376,967 : x
  2. Step 2: Convert to fraction form
    166,289/376,967 = 376,967/x
  3. Step 3: Cross multiply
    166,289x = 376,967 × 376,967
  4. Step 4: Simplify right side
    166,289x = 142,104,119,089
  5. Step 5: Solve for x
    x = 142,104,119,089/166,289
  6. Step 6: Final answer
    x = 854,561.15

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.