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Finding the Third Proportional to 143,476 and 181,917

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Solution

The third proportional to 143,476 and 181,917 is: 230,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,476 : 181,917 = 181,917 : x
  2. Step 2: Convert to fraction form
    143,476/181,917 = 181,917/x
  3. Step 3: Cross multiply
    143,476x = 181,917 × 181,917
  4. Step 4: Simplify right side
    143,476x = 33,093,794,889
  5. Step 5: Solve for x
    x = 33,093,794,889/143,476
  6. Step 6: Final answer
    x = 230,657.36

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.