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Finding the Third Proportional to 150,696 and 221,508

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Solution

The third proportional to 150,696 and 221,508 is: 325,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,696 : 221,508 = 221,508 : x
  2. Step 2: Convert to fraction form
    150,696/221,508 = 221,508/x
  3. Step 3: Cross multiply
    150,696x = 221,508 × 221,508
  4. Step 4: Simplify right side
    150,696x = 49,065,794,064
  5. Step 5: Solve for x
    x = 49,065,794,064/150,696
  6. Step 6: Final answer
    x = 325,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.