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Finding the Third Proportional to 166,059 and 264,360

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Solution

The third proportional to 166,059 and 264,360 is: 420,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,059 : 264,360 = 264,360 : x
  2. Step 2: Convert to fraction form
    166,059/264,360 = 264,360/x
  3. Step 3: Cross multiply
    166,059x = 264,360 × 264,360
  4. Step 4: Simplify right side
    166,059x = 69,886,209,600
  5. Step 5: Solve for x
    x = 69,886,209,600/166,059
  6. Step 6: Final answer
    x = 420,851.68

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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.