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Finding the Third Proportional to 194,903 and 440,214

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Solution

The third proportional to 194,903 and 440,214 is: 994,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,903 : 440,214 = 440,214 : x
  2. Step 2: Convert to fraction form
    194,903/440,214 = 440,214/x
  3. Step 3: Cross multiply
    194,903x = 440,214 × 440,214
  4. Step 4: Simplify right side
    194,903x = 193,788,365,796
  5. Step 5: Solve for x
    x = 193,788,365,796/194,903
  6. Step 6: Final answer
    x = 994,281.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.