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Finding the Third Proportional to 74,450 and 157,180

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Solution

The third proportional to 74,450 and 157,180 is: 331,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,450 : 157,180 = 157,180 : x
  2. Step 2: Convert to fraction form
    74,450/157,180 = 157,180/x
  3. Step 3: Cross multiply
    74,450x = 157,180 × 157,180
  4. Step 4: Simplify right side
    74,450x = 24,705,552,400
  5. Step 5: Solve for x
    x = 24,705,552,400/74,450
  6. Step 6: Final answer
    x = 331,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.