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Finding the Third Proportional to 159,002 and 238,503

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Solution

The third proportional to 159,002 and 238,503 is: 357,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,002 : 238,503 = 238,503 : x
  2. Step 2: Convert to fraction form
    159,002/238,503 = 238,503/x
  3. Step 3: Cross multiply
    159,002x = 238,503 × 238,503
  4. Step 4: Simplify right side
    159,002x = 56,883,681,009
  5. Step 5: Solve for x
    x = 56,883,681,009/159,002
  6. Step 6: Final answer
    x = 357,754.50

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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.