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Finding the Third Proportional to 164,349 and 250,938

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Solution

The third proportional to 164,349 and 250,938 is: 383,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,349 : 250,938 = 250,938 : x
  2. Step 2: Convert to fraction form
    164,349/250,938 = 250,938/x
  3. Step 3: Cross multiply
    164,349x = 250,938 × 250,938
  4. Step 4: Simplify right side
    164,349x = 62,969,879,844
  5. Step 5: Solve for x
    x = 62,969,879,844/164,349
  6. Step 6: Final answer
    x = 383,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.