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Finding the Third Proportional to 150,476 and 355,194

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Solution

The third proportional to 150,476 and 355,194 is: 838,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,476 : 355,194 = 355,194 : x
  2. Step 2: Convert to fraction form
    150,476/355,194 = 355,194/x
  3. Step 3: Cross multiply
    150,476x = 355,194 × 355,194
  4. Step 4: Simplify right side
    150,476x = 126,162,777,636
  5. Step 5: Solve for x
    x = 126,162,777,636/150,476
  6. Step 6: Final answer
    x = 838,424.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.