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Finding the Third Proportional to 188,853 and 405,773

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Solution

The third proportional to 188,853 and 405,773 is: 871,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853 : 405,773 = 405,773 : x
  2. Step 2: Convert to fraction form
    188,853/405,773 = 405,773/x
  3. Step 3: Cross multiply
    188,853x = 405,773 × 405,773
  4. Step 4: Simplify right side
    188,853x = 164,651,727,529
  5. Step 5: Solve for x
    x = 164,651,727,529/188,853
  6. Step 6: Final answer
    x = 871,851.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.