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Finding the Third Proportional to 104,286 and 229,308

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Solution

The third proportional to 104,286 and 229,308 is: 504,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,286 : 229,308 = 229,308 : x
  2. Step 2: Convert to fraction form
    104,286/229,308 = 229,308/x
  3. Step 3: Cross multiply
    104,286x = 229,308 × 229,308
  4. Step 4: Simplify right side
    104,286x = 52,582,158,864
  5. Step 5: Solve for x
    x = 52,582,158,864/104,286
  6. Step 6: Final answer
    x = 504,211.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.