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Finding the Third Proportional to 223,928 and 338,052

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Solution

The third proportional to 223,928 and 338,052 is: 510,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,928 : 338,052 = 338,052 : x
  2. Step 2: Convert to fraction form
    223,928/338,052 = 338,052/x
  3. Step 3: Cross multiply
    223,928x = 338,052 × 338,052
  4. Step 4: Simplify right side
    223,928x = 114,279,154,704
  5. Step 5: Solve for x
    x = 114,279,154,704/223,928
  6. Step 6: Final answer
    x = 510,338.84

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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.