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Finding the Third Proportional to 166,052.11 and 264,350.67

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Solution

The third proportional to 166,052.11 and 264,350.67 is: 420,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,052.11 : 264,350.67 = 264,350.67 : x
  2. Step 2: Convert to fraction form
    166,052.11/264,350.67 = 264,350.67/x
  3. Step 3: Cross multiply
    166,052.11x = 264,350.67 × 264,350.67
  4. Step 4: Simplify right side
    166,052.11x = 69,881,277,720.76
  5. Step 5: Solve for x
    x = 69,881,277,720.76/166,052.11
  6. Step 6: Final answer
    x = 420,839.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.