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Finding the Third Proportional to 73,178 and 157,450

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Solution

The third proportional to 73,178 and 157,450 is: 338,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178 : 157,450 = 157,450 : x
  2. Step 2: Convert to fraction form
    73,178/157,450 = 157,450/x
  3. Step 3: Cross multiply
    73,178x = 157,450 × 157,450
  4. Step 4: Simplify right side
    73,178x = 24,790,502,500
  5. Step 5: Solve for x
    x = 24,790,502,500/73,178
  6. Step 6: Final answer
    x = 338,769.88

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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.