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Finding the Third Proportional to 183,838 and 384,511

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Solution

The third proportional to 183,838 and 384,511 is: 804,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,838 : 384,511 = 384,511 : x
  2. Step 2: Convert to fraction form
    183,838/384,511 = 384,511/x
  3. Step 3: Cross multiply
    183,838x = 384,511 × 384,511
  4. Step 4: Simplify right side
    183,838x = 147,848,709,121
  5. Step 5: Solve for x
    x = 147,848,709,121/183,838
  6. Step 6: Final answer
    x = 804,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.