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Finding the Third Proportional to 159,880 and 230,979.50

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Solution

The third proportional to 159,880 and 230,979.50 is: 333,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,880 : 230,979.50 = 230,979.50 : x
  2. Step 2: Convert to fraction form
    159,880/230,979.50 = 230,979.50/x
  3. Step 3: Cross multiply
    159,880x = 230,979.50 × 230,979.50
  4. Step 4: Simplify right side
    159,880x = 53,351,529,420.25
  5. Step 5: Solve for x
    x = 53,351,529,420.25/159,880
  6. Step 6: Final answer
    x = 333,697.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.