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Finding the Third Proportional to 166,524.75 and 359,685

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Solution

The third proportional to 166,524.75 and 359,685 is: 776,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,524.75 : 359,685 = 359,685 : x
  2. Step 2: Convert to fraction form
    166,524.75/359,685 = 359,685/x
  3. Step 3: Cross multiply
    166,524.75x = 359,685 × 359,685
  4. Step 4: Simplify right side
    166,524.75x = 129,373,299,225
  5. Step 5: Solve for x
    x = 129,373,299,225/166,524.75
  6. Step 6: Final answer
    x = 776,901.33

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