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Finding the Third Proportional to 142,326 and 305,756

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Solution

The third proportional to 142,326 and 305,756 is: 656,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326 : 305,756 = 305,756 : x
  2. Step 2: Convert to fraction form
    142,326/305,756 = 305,756/x
  3. Step 3: Cross multiply
    142,326x = 305,756 × 305,756
  4. Step 4: Simplify right side
    142,326x = 93,486,731,536
  5. Step 5: Solve for x
    x = 93,486,731,536/142,326
  6. Step 6: Final answer
    x = 656,849.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.