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Finding the Third Proportional to 192,669 and 306,840

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Solution

The third proportional to 192,669 and 306,840 is: 488,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,669 : 306,840 = 306,840 : x
  2. Step 2: Convert to fraction form
    192,669/306,840 = 306,840/x
  3. Step 3: Cross multiply
    192,669x = 306,840 × 306,840
  4. Step 4: Simplify right side
    192,669x = 94,150,785,600
  5. Step 5: Solve for x
    x = 94,150,785,600/192,669
  6. Step 6: Final answer
    x = 488,665.98

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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.