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Finding the Third Proportional to 162,703 and 333,334

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Solution

The third proportional to 162,703 and 333,334 is: 682,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,703 : 333,334 = 333,334 : x
  2. Step 2: Convert to fraction form
    162,703/333,334 = 333,334/x
  3. Step 3: Cross multiply
    162,703x = 333,334 × 333,334
  4. Step 4: Simplify right side
    162,703x = 111,111,555,556
  5. Step 5: Solve for x
    x = 111,111,555,556/162,703
  6. Step 6: Final answer
    x = 682,910.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.