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Finding the Third Proportional to 140,463 and 228,195

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Solution

The third proportional to 140,463 and 228,195 is: 370,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,463 : 228,195 = 228,195 : x
  2. Step 2: Convert to fraction form
    140,463/228,195 = 228,195/x
  3. Step 3: Cross multiply
    140,463x = 228,195 × 228,195
  4. Step 4: Simplify right side
    140,463x = 52,072,958,025
  5. Step 5: Solve for x
    x = 52,072,958,025/140,463
  6. Step 6: Final answer
    x = 370,723.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.