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Finding the Third Proportional to 192,652 and 296,481

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Solution

The third proportional to 192,652 and 296,481 is: 456,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,652 : 296,481 = 296,481 : x
  2. Step 2: Convert to fraction form
    192,652/296,481 = 296,481/x
  3. Step 3: Cross multiply
    192,652x = 296,481 × 296,481
  4. Step 4: Simplify right side
    192,652x = 87,900,983,361
  5. Step 5: Solve for x
    x = 87,900,983,361/192,652
  6. Step 6: Final answer
    x = 456,268.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.