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Finding the Third Proportional to 173,180 and 373,112

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Solution

The third proportional to 173,180 and 373,112 is: 803,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,180 : 373,112 = 373,112 : x
  2. Step 2: Convert to fraction form
    173,180/373,112 = 373,112/x
  3. Step 3: Cross multiply
    173,180x = 373,112 × 373,112
  4. Step 4: Simplify right side
    173,180x = 139,212,564,544
  5. Step 5: Solve for x
    x = 139,212,564,544/173,180
  6. Step 6: Final answer
    x = 803,860.52

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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.