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Finding the Third Proportional to 164,697 and 223,716

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Solution

The third proportional to 164,697 and 223,716 is: 303,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,697 : 223,716 = 223,716 : x
  2. Step 2: Convert to fraction form
    164,697/223,716 = 223,716/x
  3. Step 3: Cross multiply
    164,697x = 223,716 × 223,716
  4. Step 4: Simplify right side
    164,697x = 50,048,848,656
  5. Step 5: Solve for x
    x = 50,048,848,656/164,697
  6. Step 6: Final answer
    x = 303,884.40

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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.