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Finding the Third Proportional to 182,684 and 286,647

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Solution

The third proportional to 182,684 and 286,647 is: 449,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,684 : 286,647 = 286,647 : x
  2. Step 2: Convert to fraction form
    182,684/286,647 = 286,647/x
  3. Step 3: Cross multiply
    182,684x = 286,647 × 286,647
  4. Step 4: Simplify right side
    182,684x = 82,166,502,609
  5. Step 5: Solve for x
    x = 82,166,502,609/182,684
  6. Step 6: Final answer
    x = 449,773.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.