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Finding the Third Proportional to 159,589 and 242,700

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Solution

The third proportional to 159,589 and 242,700 is: 369,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,589 : 242,700 = 242,700 : x
  2. Step 2: Convert to fraction form
    159,589/242,700 = 242,700/x
  3. Step 3: Cross multiply
    159,589x = 242,700 × 242,700
  4. Step 4: Simplify right side
    159,589x = 58,903,290,000
  5. Step 5: Solve for x
    x = 58,903,290,000/159,589
  6. Step 6: Final answer
    x = 369,093.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.