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Finding the Third Proportional to 153,821 and 323,194

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Solution

The third proportional to 153,821 and 323,194 is: 679,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,821 : 323,194 = 323,194 : x
  2. Step 2: Convert to fraction form
    153,821/323,194 = 323,194/x
  3. Step 3: Cross multiply
    153,821x = 323,194 × 323,194
  4. Step 4: Simplify right side
    153,821x = 104,454,361,636
  5. Step 5: Solve for x
    x = 104,454,361,636/153,821
  6. Step 6: Final answer
    x = 679,064.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.