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Finding the Third Proportional to 193,667 and 264,029

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Solution

The third proportional to 193,667 and 264,029 is: 359,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,667 : 264,029 = 264,029 : x
  2. Step 2: Convert to fraction form
    193,667/264,029 = 264,029/x
  3. Step 3: Cross multiply
    193,667x = 264,029 × 264,029
  4. Step 4: Simplify right side
    193,667x = 69,711,312,841
  5. Step 5: Solve for x
    x = 69,711,312,841/193,667
  6. Step 6: Final answer
    x = 359,954.52

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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.