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Finding the Third Proportional to 183,696 and 389,440

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Solution

The third proportional to 183,696 and 389,440 is: 825,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,696 : 389,440 = 389,440 : x
  2. Step 2: Convert to fraction form
    183,696/389,440 = 389,440/x
  3. Step 3: Cross multiply
    183,696x = 389,440 × 389,440
  4. Step 4: Simplify right side
    183,696x = 151,663,513,600
  5. Step 5: Solve for x
    x = 151,663,513,600/183,696
  6. Step 6: Final answer
    x = 825,622.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.