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Finding the Third Proportional to 186,686 and 283,491

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Solution

The third proportional to 186,686 and 283,491 is: 430,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,686 : 283,491 = 283,491 : x
  2. Step 2: Convert to fraction form
    186,686/283,491 = 283,491/x
  3. Step 3: Cross multiply
    186,686x = 283,491 × 283,491
  4. Step 4: Simplify right side
    186,686x = 80,367,147,081
  5. Step 5: Solve for x
    x = 80,367,147,081/186,686
  6. Step 6: Final answer
    x = 430,493.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.