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Finding the Third Proportional to 193,628 and 311,938

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Solution

The third proportional to 193,628 and 311,938 is: 502,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,628 : 311,938 = 311,938 : x
  2. Step 2: Convert to fraction form
    193,628/311,938 = 311,938/x
  3. Step 3: Cross multiply
    193,628x = 311,938 × 311,938
  4. Step 4: Simplify right side
    193,628x = 97,305,315,844
  5. Step 5: Solve for x
    x = 97,305,315,844/193,628
  6. Step 6: Final answer
    x = 502,537.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.