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Finding the Third Proportional to 188,018 and 413,242

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Solution

The third proportional to 188,018 and 413,242 is: 908,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,018 : 413,242 = 413,242 : x
  2. Step 2: Convert to fraction form
    188,018/413,242 = 413,242/x
  3. Step 3: Cross multiply
    188,018x = 413,242 × 413,242
  4. Step 4: Simplify right side
    188,018x = 170,768,950,564
  5. Step 5: Solve for x
    x = 170,768,950,564/188,018
  6. Step 6: Final answer
    x = 908,258.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.