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Finding the Third Proportional to 192,192 and 305,388

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Solution

The third proportional to 192,192 and 305,388 is: 485,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192 : 305,388 = 305,388 : x
  2. Step 2: Convert to fraction form
    192,192/305,388 = 305,388/x
  3. Step 3: Cross multiply
    192,192x = 305,388 × 305,388
  4. Step 4: Simplify right side
    192,192x = 93,261,830,544
  5. Step 5: Solve for x
    x = 93,261,830,544/192,192
  6. Step 6: Final answer
    x = 485,253.45

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1.5x scale

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.