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Finding the Third Proportional to 104,262 and 229,260

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Solution

The third proportional to 104,262 and 229,260 is: 504,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262 : 229,260 = 229,260 : x
  2. Step 2: Convert to fraction form
    104,262/229,260 = 229,260/x
  3. Step 3: Cross multiply
    104,262x = 229,260 × 229,260
  4. Step 4: Simplify right side
    104,262x = 52,560,147,600
  5. Step 5: Solve for x
    x = 52,560,147,600/104,262
  6. Step 6: Final answer
    x = 504,116.05

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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.