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Finding the Third Proportional to 159,861 and 238,695

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Solution

The third proportional to 159,861 and 238,695 is: 356,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,861 : 238,695 = 238,695 : x
  2. Step 2: Convert to fraction form
    159,861/238,695 = 238,695/x
  3. Step 3: Cross multiply
    159,861x = 238,695 × 238,695
  4. Step 4: Simplify right side
    159,861x = 56,975,303,025
  5. Step 5: Solve for x
    x = 56,975,303,025/159,861
  6. Step 6: Final answer
    x = 356,405.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.