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Finding the Third Proportional to 166,451.25 and 359,504.75

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Solution

The third proportional to 166,451.25 and 359,504.75 is: 776,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,451.25 : 359,504.75 = 359,504.75 : x
  2. Step 2: Convert to fraction form
    166,451.25/359,504.75 = 359,504.75/x
  3. Step 3: Cross multiply
    166,451.25x = 359,504.75 × 359,504.75
  4. Step 4: Simplify right side
    166,451.25x = 129,243,665,272.56
  5. Step 5: Solve for x
    x = 129,243,665,272.56/166,451.25
  6. Step 6: Final answer
    x = 776,465.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.