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Finding the Third Proportional to 166,056.75 and 264,357.42

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Solution

The third proportional to 166,056.75 and 264,357.42 is: 420,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056.75 : 264,357.42 = 264,357.42 : x
  2. Step 2: Convert to fraction form
    166,056.75/264,357.42 = 264,357.42/x
  3. Step 3: Cross multiply
    166,056.75x = 264,357.42 × 264,357.42
  4. Step 4: Simplify right side
    166,056.75x = 69,884,846,500.40
  5. Step 5: Solve for x
    x = 69,884,846,500.40/166,056.75
  6. Step 6: Final answer
    x = 420,849.18

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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.