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Finding the Third Proportional to 212,241 and 321,094

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Solution

The third proportional to 212,241 and 321,094 is: 485,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,241 : 321,094 = 321,094 : x
  2. Step 2: Convert to fraction form
    212,241/321,094 = 321,094/x
  3. Step 3: Cross multiply
    212,241x = 321,094 × 321,094
  4. Step 4: Simplify right side
    212,241x = 103,101,356,836
  5. Step 5: Solve for x
    x = 103,101,356,836/212,241
  6. Step 6: Final answer
    x = 485,774.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.