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Finding the Third Proportional to 193,064 and 289,208

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Solution

The third proportional to 193,064 and 289,208 is: 433,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,064 : 289,208 = 289,208 : x
  2. Step 2: Convert to fraction form
    193,064/289,208 = 289,208/x
  3. Step 3: Cross multiply
    193,064x = 289,208 × 289,208
  4. Step 4: Simplify right side
    193,064x = 83,641,267,264
  5. Step 5: Solve for x
    x = 83,641,267,264/193,064
  6. Step 6: Final answer
    x = 433,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.