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Finding the Third Proportional to 224,036 and 331,620

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Solution

The third proportional to 224,036 and 331,620 is: 490,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,036 : 331,620 = 331,620 : x
  2. Step 2: Convert to fraction form
    224,036/331,620 = 331,620/x
  3. Step 3: Cross multiply
    224,036x = 331,620 × 331,620
  4. Step 4: Simplify right side
    224,036x = 109,971,824,400
  5. Step 5: Solve for x
    x = 109,971,824,400/224,036
  6. Step 6: Final answer
    x = 490,866.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.