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Finding the Third Proportional to 192,671 and 306,844

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Solution

The third proportional to 192,671 and 306,844 is: 488,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,671 : 306,844 = 306,844 : x
  2. Step 2: Convert to fraction form
    192,671/306,844 = 306,844/x
  3. Step 3: Cross multiply
    192,671x = 306,844 × 306,844
  4. Step 4: Simplify right side
    192,671x = 94,153,240,336
  5. Step 5: Solve for x
    x = 94,153,240,336/192,671
  6. Step 6: Final answer
    x = 488,673.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.