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Finding the Third Proportional to 159,426 and 244,161

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Solution

The third proportional to 159,426 and 244,161 is: 373,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,426 : 244,161 = 244,161 : x
  2. Step 2: Convert to fraction form
    159,426/244,161 = 244,161/x
  3. Step 3: Cross multiply
    159,426x = 244,161 × 244,161
  4. Step 4: Simplify right side
    159,426x = 59,614,593,921
  5. Step 5: Solve for x
    x = 59,614,593,921/159,426
  6. Step 6: Final answer
    x = 373,932.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.