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Finding the Third Proportional to 166,069 and 264,374.50

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Solution

The third proportional to 166,069 and 264,374.50 is: 420,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069 : 264,374.50 = 264,374.50 : x
  2. Step 2: Convert to fraction form
    166,069/264,374.50 = 264,374.50/x
  3. Step 3: Cross multiply
    166,069x = 264,374.50 × 264,374.50
  4. Step 4: Simplify right side
    166,069x = 69,893,876,250.25
  5. Step 5: Solve for x
    x = 69,893,876,250.25/166,069
  6. Step 6: Final answer
    x = 420,872.51

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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.