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Finding the Third Proportional to 177,268.50 and 266,793.75

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Solution

The third proportional to 177,268.50 and 266,793.75 is: 401,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,268.50 : 266,793.75 = 266,793.75 : x
  2. Step 2: Convert to fraction form
    177,268.50/266,793.75 = 266,793.75/x
  3. Step 3: Cross multiply
    177,268.50x = 266,793.75 × 266,793.75
  4. Step 4: Simplify right side
    177,268.50x = 71,178,905,039.06
  5. Step 5: Solve for x
    x = 71,178,905,039.06/177,268.50
  6. Step 6: Final answer
    x = 401,531.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.