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Finding the Third Proportional to 183,456 and 387,648

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Solution

The third proportional to 183,456 and 387,648 is: 819,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,456 : 387,648 = 387,648 : x
  2. Step 2: Convert to fraction form
    183,456/387,648 = 387,648/x
  3. Step 3: Cross multiply
    183,456x = 387,648 × 387,648
  4. Step 4: Simplify right side
    183,456x = 150,270,971,904
  5. Step 5: Solve for x
    x = 150,270,971,904/183,456
  6. Step 6: Final answer
    x = 819,111.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.