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Finding the Third Proportional to 209,096 and 324,228

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Solution

The third proportional to 209,096 and 324,228 is: 502,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,096 : 324,228 = 324,228 : x
  2. Step 2: Convert to fraction form
    209,096/324,228 = 324,228/x
  3. Step 3: Cross multiply
    209,096x = 324,228 × 324,228
  4. Step 4: Simplify right side
    209,096x = 105,123,795,984
  5. Step 5: Solve for x
    x = 105,123,795,984/209,096
  6. Step 6: Final answer
    x = 502,753.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.