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Finding the Third Proportional to 183,696 and 396,768

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Solution

The third proportional to 183,696 and 396,768 is: 856,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,696 : 396,768 = 396,768 : x
  2. Step 2: Convert to fraction form
    183,696/396,768 = 396,768/x
  3. Step 3: Cross multiply
    183,696x = 396,768 × 396,768
  4. Step 4: Simplify right side
    183,696x = 157,424,845,824
  5. Step 5: Solve for x
    x = 157,424,845,824/183,696
  6. Step 6: Final answer
    x = 856,985.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.