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Finding the Third Proportional to 149,654 and 321,214

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Solution

The third proportional to 149,654 and 321,214 is: 689,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,654 : 321,214 = 321,214 : x
  2. Step 2: Convert to fraction form
    149,654/321,214 = 321,214/x
  3. Step 3: Cross multiply
    149,654x = 321,214 × 321,214
  4. Step 4: Simplify right side
    149,654x = 103,178,433,796
  5. Step 5: Solve for x
    x = 103,178,433,796/149,654
  6. Step 6: Final answer
    x = 689,446.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.