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Finding the Third Proportional to 141,867 and 308,934

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Solution

The third proportional to 141,867 and 308,934 is: 672,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,867 : 308,934 = 308,934 : x
  2. Step 2: Convert to fraction form
    141,867/308,934 = 308,934/x
  3. Step 3: Cross multiply
    141,867x = 308,934 × 308,934
  4. Step 4: Simplify right side
    141,867x = 95,440,216,356
  5. Step 5: Solve for x
    x = 95,440,216,356/141,867
  6. Step 6: Final answer
    x = 672,744.31

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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.