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Finding the Third Proportional to 182,448 and 273,399

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Solution

The third proportional to 182,448 and 273,399 is: 409,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,448 : 273,399 = 273,399 : x
  2. Step 2: Convert to fraction form
    182,448/273,399 = 273,399/x
  3. Step 3: Cross multiply
    182,448x = 273,399 × 273,399
  4. Step 4: Simplify right side
    182,448x = 74,747,013,201
  5. Step 5: Solve for x
    x = 74,747,013,201/182,448
  6. Step 6: Final answer
    x = 409,689.41

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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.