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Finding the Third Proportional to 192,726 and 296,604

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Solution

The third proportional to 192,726 and 296,604 is: 456,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,726 : 296,604 = 296,604 : x
  2. Step 2: Convert to fraction form
    192,726/296,604 = 296,604/x
  3. Step 3: Cross multiply
    192,726x = 296,604 × 296,604
  4. Step 4: Simplify right side
    192,726x = 87,973,932,816
  5. Step 5: Solve for x
    x = 87,973,932,816/192,726
  6. Step 6: Final answer
    x = 456,471.53

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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.