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Finding the Third Proportional to 155,882 and 334,930

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Solution

The third proportional to 155,882 and 334,930 is: 719,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,882 : 334,930 = 334,930 : x
  2. Step 2: Convert to fraction form
    155,882/334,930 = 334,930/x
  3. Step 3: Cross multiply
    155,882x = 334,930 × 334,930
  4. Step 4: Simplify right side
    155,882x = 112,178,104,900
  5. Step 5: Solve for x
    x = 112,178,104,900/155,882
  6. Step 6: Final answer
    x = 719,634.76

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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.