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Finding the Third Proportional to 164,736 and 223,740

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Solution

The third proportional to 164,736 and 223,740 is: 303,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,736 : 223,740 = 223,740 : x
  2. Step 2: Convert to fraction form
    164,736/223,740 = 223,740/x
  3. Step 3: Cross multiply
    164,736x = 223,740 × 223,740
  4. Step 4: Simplify right side
    164,736x = 50,059,587,600
  5. Step 5: Solve for x
    x = 50,059,587,600/164,736
  6. Step 6: Final answer
    x = 303,877.64

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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.