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Finding the Third Proportional to 141,634 and 308,244

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Solution

The third proportional to 141,634 and 308,244 is: 670,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,634 : 308,244 = 308,244 : x
  2. Step 2: Convert to fraction form
    141,634/308,244 = 308,244/x
  3. Step 3: Cross multiply
    141,634x = 308,244 × 308,244
  4. Step 4: Simplify right side
    141,634x = 95,014,363,536
  5. Step 5: Solve for x
    x = 95,014,363,536/141,634
  6. Step 6: Final answer
    x = 670,844.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.