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Finding the Third Proportional to 233,802 and 361,615

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Solution

The third proportional to 233,802 and 361,615 is: 559,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,802 : 361,615 = 361,615 : x
  2. Step 2: Convert to fraction form
    233,802/361,615 = 361,615/x
  3. Step 3: Cross multiply
    233,802x = 361,615 × 361,615
  4. Step 4: Simplify right side
    233,802x = 130,765,408,225
  5. Step 5: Solve for x
    x = 130,765,408,225/233,802
  6. Step 6: Final answer
    x = 559,299.78

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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.