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Finding the Third Proportional to 192,974 and 296,946

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Solution

The third proportional to 192,974 and 296,946 is: 456,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,974 : 296,946 = 296,946 : x
  2. Step 2: Convert to fraction form
    192,974/296,946 = 296,946/x
  3. Step 3: Cross multiply
    192,974x = 296,946 × 296,946
  4. Step 4: Simplify right side
    192,974x = 88,176,926,916
  5. Step 5: Solve for x
    x = 88,176,926,916/192,974
  6. Step 6: Final answer
    x = 456,936.83

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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.