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Finding the Third Proportional to 156,165 and 338,556

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Solution

The third proportional to 156,165 and 338,556 is: 733,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,165 : 338,556 = 338,556 : x
  2. Step 2: Convert to fraction form
    156,165/338,556 = 338,556/x
  3. Step 3: Cross multiply
    156,165x = 338,556 × 338,556
  4. Step 4: Simplify right side
    156,165x = 114,620,165,136
  5. Step 5: Solve for x
    x = 114,620,165,136/156,165
  6. Step 6: Final answer
    x = 733,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.