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Finding the Third Proportional to 182,037.69 and 273,056.55

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Solution

The third proportional to 182,037.69 and 273,056.55 is: 409,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,037.69 : 273,056.55 = 273,056.55 : x
  2. Step 2: Convert to fraction form
    182,037.69/273,056.55 = 273,056.55/x
  3. Step 3: Cross multiply
    182,037.69x = 273,056.55 × 273,056.55
  4. Step 4: Simplify right side
    182,037.69x = 74,559,882,057.81
  5. Step 5: Solve for x
    x = 74,559,882,057.81/182,037.69
  6. Step 6: Final answer
    x = 409,584.86

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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.