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Finding the Third Proportional to 183,264 and 393,648

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Solution

The third proportional to 183,264 and 393,648 is: 845,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,264 : 393,648 = 393,648 : x
  2. Step 2: Convert to fraction form
    183,264/393,648 = 393,648/x
  3. Step 3: Cross multiply
    183,264x = 393,648 × 393,648
  4. Step 4: Simplify right side
    183,264x = 154,958,747,904
  5. Step 5: Solve for x
    x = 154,958,747,904/183,264
  6. Step 6: Final answer
    x = 845,549.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.