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Finding the Third Proportional to 159,628 and 239,003

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Solution

The third proportional to 159,628 and 239,003 is: 357,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,628 : 239,003 = 239,003 : x
  2. Step 2: Convert to fraction form
    159,628/239,003 = 239,003/x
  3. Step 3: Cross multiply
    159,628x = 239,003 × 239,003
  4. Step 4: Simplify right side
    159,628x = 57,122,434,009
  5. Step 5: Solve for x
    x = 57,122,434,009/159,628
  6. Step 6: Final answer
    x = 357,847.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.