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Finding the Third Proportional to 164,840 and 223,923

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Solution

The third proportional to 164,840 and 223,923 is: 304,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,840 : 223,923 = 223,923 : x
  2. Step 2: Convert to fraction form
    164,840/223,923 = 223,923/x
  3. Step 3: Cross multiply
    164,840x = 223,923 × 223,923
  4. Step 4: Simplify right side
    164,840x = 50,141,509,929
  5. Step 5: Solve for x
    x = 50,141,509,929/164,840
  6. Step 6: Final answer
    x = 304,182.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.