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Finding the Third Proportional to 131,814 and 311,032

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Solution

The third proportional to 131,814 and 311,032 is: 733,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,814 : 311,032 = 311,032 : x
  2. Step 2: Convert to fraction form
    131,814/311,032 = 311,032/x
  3. Step 3: Cross multiply
    131,814x = 311,032 × 311,032
  4. Step 4: Simplify right side
    131,814x = 96,740,905,024
  5. Step 5: Solve for x
    x = 96,740,905,024/131,814
  6. Step 6: Final answer
    x = 733,919.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.