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Finding the Third Proportional to 171,808 and 273,328

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Solution

The third proportional to 171,808 and 273,328 is: 434,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 273,328 = 273,328 : x
  2. Step 2: Convert to fraction form
    171,808/273,328 = 273,328/x
  3. Step 3: Cross multiply
    171,808x = 273,328 × 273,328
  4. Step 4: Simplify right side
    171,808x = 74,708,195,584
  5. Step 5: Solve for x
    x = 74,708,195,584/171,808
  6. Step 6: Final answer
    x = 434,835.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.