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Finding the Third Proportional to 192,972 and 296,943

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Solution

The third proportional to 192,972 and 296,943 is: 456,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,972 : 296,943 = 296,943 : x
  2. Step 2: Convert to fraction form
    192,972/296,943 = 296,943/x
  3. Step 3: Cross multiply
    192,972x = 296,943 × 296,943
  4. Step 4: Simplify right side
    192,972x = 88,175,145,249
  5. Step 5: Solve for x
    x = 88,175,145,249/192,972
  6. Step 6: Final answer
    x = 456,932.33

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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.