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Finding the Third Proportional to 158,124 and 244,170

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Solution

The third proportional to 158,124 and 244,170 is: 377,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,124 : 244,170 = 244,170 : x
  2. Step 2: Convert to fraction form
    158,124/244,170 = 244,170/x
  3. Step 3: Cross multiply
    158,124x = 244,170 × 244,170
  4. Step 4: Simplify right side
    158,124x = 59,618,988,900
  5. Step 5: Solve for x
    x = 59,618,988,900/158,124
  6. Step 6: Final answer
    x = 377,039.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.