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Finding the Third Proportional to 208,174.50 and 405,981

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Solution

The third proportional to 208,174.50 and 405,981 is: 791,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,174.50 : 405,981 = 405,981 : x
  2. Step 2: Convert to fraction form
    208,174.50/405,981 = 405,981/x
  3. Step 3: Cross multiply
    208,174.50x = 405,981 × 405,981
  4. Step 4: Simplify right side
    208,174.50x = 164,820,572,361
  5. Step 5: Solve for x
    x = 164,820,572,361/208,174.50
  6. Step 6: Final answer
    x = 791,742.37

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.