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Finding the Third Proportional to 188,856 and 405,779

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Solution

The third proportional to 188,856 and 405,779 is: 871,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,856 : 405,779 = 405,779 : x
  2. Step 2: Convert to fraction form
    188,856/405,779 = 405,779/x
  3. Step 3: Cross multiply
    188,856x = 405,779 × 405,779
  4. Step 4: Simplify right side
    188,856x = 164,656,596,841
  5. Step 5: Solve for x
    x = 164,656,596,841/188,856
  6. Step 6: Final answer
    x = 871,863.20

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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.