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Finding the Third Proportional to 192,980 and 296,860

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Solution

The third proportional to 192,980 and 296,860 is: 456,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,980 : 296,860 = 296,860 : x
  2. Step 2: Convert to fraction form
    192,980/296,860 = 296,860/x
  3. Step 3: Cross multiply
    192,980x = 296,860 × 296,860
  4. Step 4: Simplify right side
    192,980x = 88,125,859,600
  5. Step 5: Solve for x
    x = 88,125,859,600/192,980
  6. Step 6: Final answer
    x = 456,657.99

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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.