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Finding the Third Proportional to 209,094 and 324,225

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Solution

The third proportional to 209,094 and 324,225 is: 502,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,094 : 324,225 = 324,225 : x
  2. Step 2: Convert to fraction form
    209,094/324,225 = 324,225/x
  3. Step 3: Cross multiply
    209,094x = 324,225 × 324,225
  4. Step 4: Simplify right side
    209,094x = 105,121,850,625
  5. Step 5: Solve for x
    x = 105,121,850,625/209,094
  6. Step 6: Final answer
    x = 502,749.24

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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.