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Finding the Third Proportional to 166,672.69 and 264,771.28

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Solution

The third proportional to 166,672.69 and 264,771.28 is: 420,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,672.69 : 264,771.28 = 264,771.28 : x
  2. Step 2: Convert to fraction form
    166,672.69/264,771.28 = 264,771.28/x
  3. Step 3: Cross multiply
    166,672.69x = 264,771.28 × 264,771.28
  4. Step 4: Simplify right side
    166,672.69x = 70,103,831,374.77
  5. Step 5: Solve for x
    x = 70,103,831,374.77/166,672.69
  6. Step 6: Final answer
    x = 420,607.79

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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.