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Finding the Third Proportional to 212,094 and 311,012

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Solution

The third proportional to 212,094 and 311,012 is: 456,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,094 : 311,012 = 311,012 : x
  2. Step 2: Convert to fraction form
    212,094/311,012 = 311,012/x
  3. Step 3: Cross multiply
    212,094x = 311,012 × 311,012
  4. Step 4: Simplify right side
    212,094x = 96,728,464,144
  5. Step 5: Solve for x
    x = 96,728,464,144/212,094
  6. Step 6: Final answer
    x = 456,064.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.