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Finding the Third Proportional to 229,257 and 505,170

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Solution

The third proportional to 229,257 and 505,170 is: 1,113,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257 : 505,170 = 505,170 : x
  2. Step 2: Convert to fraction form
    229,257/505,170 = 505,170/x
  3. Step 3: Cross multiply
    229,257x = 505,170 × 505,170
  4. Step 4: Simplify right side
    229,257x = 255,196,728,900
  5. Step 5: Solve for x
    x = 255,196,728,900/229,257
  6. Step 6: Final answer
    x = 1,113,146.94

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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.