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Finding the Third Proportional to 183,817.13 and 384,467.63

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Solution

The third proportional to 183,817.13 and 384,467.63 is: 804,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,817.13 : 384,467.63 = 384,467.63 : x
  2. Step 2: Convert to fraction form
    183,817.13/384,467.63 = 384,467.63/x
  3. Step 3: Cross multiply
    183,817.13x = 384,467.63 × 384,467.63
  4. Step 4: Simplify right side
    183,817.13x = 147,815,354,673.14
  5. Step 5: Solve for x
    x = 147,815,354,673.14/183,817.13
  6. Step 6: Final answer
    x = 804,143.55

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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.