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Finding the Third Proportional to 183,393 and 388,863

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Solution

The third proportional to 183,393 and 388,863 is: 824,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,393 : 388,863 = 388,863 : x
  2. Step 2: Convert to fraction form
    183,393/388,863 = 388,863/x
  3. Step 3: Cross multiply
    183,393x = 388,863 × 388,863
  4. Step 4: Simplify right side
    183,393x = 151,214,432,769
  5. Step 5: Solve for x
    x = 151,214,432,769/183,393
  6. Step 6: Final answer
    x = 824,537.65

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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.