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Finding the Third Proportional to 200,823 and 301,245

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Solution

The third proportional to 200,823 and 301,245 is: 451,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,823 : 301,245 = 301,245 : x
  2. Step 2: Convert to fraction form
    200,823/301,245 = 301,245/x
  3. Step 3: Cross multiply
    200,823x = 301,245 × 301,245
  4. Step 4: Simplify right side
    200,823x = 90,748,550,025
  5. Step 5: Solve for x
    x = 90,748,550,025/200,823
  6. Step 6: Final answer
    x = 451,883.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.