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Finding the Third Proportional to 223,131 and 312,093

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Solution

The third proportional to 223,131 and 312,093 is: 436,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,131 : 312,093 = 312,093 : x
  2. Step 2: Convert to fraction form
    223,131/312,093 = 312,093/x
  3. Step 3: Cross multiply
    223,131x = 312,093 × 312,093
  4. Step 4: Simplify right side
    223,131x = 97,402,040,649
  5. Step 5: Solve for x
    x = 97,402,040,649/223,131
  6. Step 6: Final answer
    x = 436,524.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.