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Finding the Third Proportional to 182,272.50 and 273,405

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Solution

The third proportional to 182,272.50 and 273,405 is: 410,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,272.50 : 273,405 = 273,405 : x
  2. Step 2: Convert to fraction form
    182,272.50/273,405 = 273,405/x
  3. Step 3: Cross multiply
    182,272.50x = 273,405 × 273,405
  4. Step 4: Simplify right side
    182,272.50x = 74,750,294,025
  5. Step 5: Solve for x
    x = 74,750,294,025/182,272.50
  6. Step 6: Final answer
    x = 410,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.