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Finding the Third Proportional to 192,152.25 and 306,966.38

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Solution

The third proportional to 192,152.25 and 306,966.38 is: 490,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,152.25 : 306,966.38 = 306,966.38 : x
  2. Step 2: Convert to fraction form
    192,152.25/306,966.38 = 306,966.38/x
  3. Step 3: Cross multiply
    192,152.25x = 306,966.38 × 306,966.38
  4. Step 4: Simplify right side
    192,152.25x = 94,228,355,380.64
  5. Step 5: Solve for x
    x = 94,228,355,380.64/192,152.25
  6. Step 6: Final answer
    x = 490,383.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.