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Finding the Third Proportional to 162,705 and 333,336

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Solution

The third proportional to 162,705 and 333,336 is: 682,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,705 : 333,336 = 333,336 : x
  2. Step 2: Convert to fraction form
    162,705/333,336 = 333,336/x
  3. Step 3: Cross multiply
    162,705x = 333,336 × 333,336
  4. Step 4: Simplify right side
    162,705x = 111,112,888,896
  5. Step 5: Solve for x
    x = 111,112,888,896/162,705
  6. Step 6: Final answer
    x = 682,910.11

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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.