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Finding the Third Proportional to 164,311.50 and 264,539.25

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Solution

The third proportional to 164,311.50 and 264,539.25 is: 425,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,311.50 : 264,539.25 = 264,539.25 : x
  2. Step 2: Convert to fraction form
    164,311.50/264,539.25 = 264,539.25/x
  3. Step 3: Cross multiply
    164,311.50x = 264,539.25 × 264,539.25
  4. Step 4: Simplify right side
    164,311.50x = 69,981,014,790.56
  5. Step 5: Solve for x
    x = 69,981,014,790.56/164,311.50
  6. Step 6: Final answer
    x = 425,904.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.