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Finding the Third Proportional to 178,007 and 388,837

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Solution

The third proportional to 178,007 and 388,837 is: 849,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,007 : 388,837 = 388,837 : x
  2. Step 2: Convert to fraction form
    178,007/388,837 = 388,837/x
  3. Step 3: Cross multiply
    178,007x = 388,837 × 388,837
  4. Step 4: Simplify right side
    178,007x = 151,194,212,569
  5. Step 5: Solve for x
    x = 151,194,212,569/178,007
  6. Step 6: Final answer
    x = 849,372.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.