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Finding the Third Proportional to 150,336 and 323,352

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Solution

The third proportional to 150,336 and 323,352 is: 695,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 323,352 = 323,352 : x
  2. Step 2: Convert to fraction form
    150,336/323,352 = 323,352/x
  3. Step 3: Cross multiply
    150,336x = 323,352 × 323,352
  4. Step 4: Simplify right side
    150,336x = 104,556,515,904
  5. Step 5: Solve for x
    x = 104,556,515,904/150,336
  6. Step 6: Final answer
    x = 695,485.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.