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Finding the Third Proportional to 141,896 and 305,938

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Solution

The third proportional to 141,896 and 305,938 is: 659,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,896 : 305,938 = 305,938 : x
  2. Step 2: Convert to fraction form
    141,896/305,938 = 305,938/x
  3. Step 3: Cross multiply
    141,896x = 305,938 × 305,938
  4. Step 4: Simplify right side
    141,896x = 93,598,059,844
  5. Step 5: Solve for x
    x = 93,598,059,844/141,896
  6. Step 6: Final answer
    x = 659,624.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.