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Finding the Third Proportional to 182,074 and 273,627

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Solution

The third proportional to 182,074 and 273,627 is: 411,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,074 : 273,627 = 273,627 : x
  2. Step 2: Convert to fraction form
    182,074/273,627 = 273,627/x
  3. Step 3: Cross multiply
    182,074x = 273,627 × 273,627
  4. Step 4: Simplify right side
    182,074x = 74,871,735,129
  5. Step 5: Solve for x
    x = 74,871,735,129/182,074
  6. Step 6: Final answer
    x = 411,215.96

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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.