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Finding the Third Proportional to 174,559.50 and 266,912.25

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Solution

The third proportional to 174,559.50 and 266,912.25 is: 408,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,559.50 : 266,912.25 = 266,912.25 : x
  2. Step 2: Convert to fraction form
    174,559.50/266,912.25 = 266,912.25/x
  3. Step 3: Cross multiply
    174,559.50x = 266,912.25 × 266,912.25
  4. Step 4: Simplify right side
    174,559.50x = 71,242,149,200.06
  5. Step 5: Solve for x
    x = 71,242,149,200.06/174,559.50
  6. Step 6: Final answer
    x = 408,125.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.