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Finding the Third Proportional to 167,104 and 360,841

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Solution

The third proportional to 167,104 and 360,841 is: 779,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,104 : 360,841 = 360,841 : x
  2. Step 2: Convert to fraction form
    167,104/360,841 = 360,841/x
  3. Step 3: Cross multiply
    167,104x = 360,841 × 360,841
  4. Step 4: Simplify right side
    167,104x = 130,206,227,281
  5. Step 5: Solve for x
    x = 130,206,227,281/167,104
  6. Step 6: Final answer
    x = 779,192.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.