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Finding the Third Proportional to 176,548.50 and 270,121.50

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Solution

The third proportional to 176,548.50 and 270,121.50 is: 413,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548.50 : 270,121.50 = 270,121.50 : x
  2. Step 2: Convert to fraction form
    176,548.50/270,121.50 = 270,121.50/x
  3. Step 3: Cross multiply
    176,548.50x = 270,121.50 × 270,121.50
  4. Step 4: Simplify right side
    176,548.50x = 72,965,624,762.25
  5. Step 5: Solve for x
    x = 72,965,624,762.25/176,548.50
  6. Step 6: Final answer
    x = 413,289.41

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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.