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Finding the Third Proportional to 167,877 and 265,824

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Solution

The third proportional to 167,877 and 265,824 is: 420,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,877 : 265,824 = 265,824 : x
  2. Step 2: Convert to fraction form
    167,877/265,824 = 265,824/x
  3. Step 3: Cross multiply
    167,877x = 265,824 × 265,824
  4. Step 4: Simplify right side
    167,877x = 70,662,398,976
  5. Step 5: Solve for x
    x = 70,662,398,976/167,877
  6. Step 6: Final answer
    x = 420,917.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.