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Finding the Third Proportional to 166,060.50 and 264,364.50

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Solution

The third proportional to 166,060.50 and 264,364.50 is: 420,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,060.50 : 264,364.50 = 264,364.50 : x
  2. Step 2: Convert to fraction form
    166,060.50/264,364.50 = 264,364.50/x
  3. Step 3: Cross multiply
    166,060.50x = 264,364.50 × 264,364.50
  4. Step 4: Simplify right side
    166,060.50x = 69,888,588,860.25
  5. Step 5: Solve for x
    x = 69,888,588,860.25/166,060.50
  6. Step 6: Final answer
    x = 420,862.21

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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.