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Finding the Third Proportional to 164,701 and 223,722

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Solution

The third proportional to 164,701 and 223,722 is: 303,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,701 : 223,722 = 223,722 : x
  2. Step 2: Convert to fraction form
    164,701/223,722 = 223,722/x
  3. Step 3: Cross multiply
    164,701x = 223,722 × 223,722
  4. Step 4: Simplify right side
    164,701x = 50,051,533,284
  5. Step 5: Solve for x
    x = 50,051,533,284/164,701
  6. Step 6: Final answer
    x = 303,893.32

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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.