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Finding the Third Proportional to 288,096 and 436,119

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Solution

The third proportional to 288,096 and 436,119 is: 660,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,096 : 436,119 = 436,119 : x
  2. Step 2: Convert to fraction form
    288,096/436,119 = 436,119/x
  3. Step 3: Cross multiply
    288,096x = 436,119 × 436,119
  4. Step 4: Simplify right side
    288,096x = 190,199,782,161
  5. Step 5: Solve for x
    x = 190,199,782,161/288,096
  6. Step 6: Final answer
    x = 660,195.84

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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.