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Finding the Third Proportional to 179,938 and 256,326

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Solution

The third proportional to 179,938 and 256,326 is: 365,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,938 : 256,326 = 256,326 : x
  2. Step 2: Convert to fraction form
    179,938/256,326 = 256,326/x
  3. Step 3: Cross multiply
    179,938x = 256,326 × 256,326
  4. Step 4: Simplify right side
    179,938x = 65,703,018,276
  5. Step 5: Solve for x
    x = 65,703,018,276/179,938
  6. Step 6: Final answer
    x = 365,142.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.