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Finding the Third Proportional to 173,112 and 273,884

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Solution

The third proportional to 173,112 and 273,884 is: 433,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,112 : 273,884 = 273,884 : x
  2. Step 2: Convert to fraction form
    173,112/273,884 = 273,884/x
  3. Step 3: Cross multiply
    173,112x = 273,884 × 273,884
  4. Step 4: Simplify right side
    173,112x = 75,012,445,456
  5. Step 5: Solve for x
    x = 75,012,445,456/173,112
  6. Step 6: Final answer
    x = 433,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.