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Finding the Third Proportional to 80,456 and 173,240

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Solution

The third proportional to 80,456 and 173,240 is: 373,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,456 : 173,240 = 173,240 : x
  2. Step 2: Convert to fraction form
    80,456/173,240 = 173,240/x
  3. Step 3: Cross multiply
    80,456x = 173,240 × 173,240
  4. Step 4: Simplify right side
    80,456x = 30,012,097,600
  5. Step 5: Solve for x
    x = 30,012,097,600/80,456
  6. Step 6: Final answer
    x = 373,024.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.