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Finding the Third Proportional to 159,536.25 and 239,790.38

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Solution

The third proportional to 159,536.25 and 239,790.38 is: 360,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536.25 : 239,790.38 = 239,790.38 : x
  2. Step 2: Convert to fraction form
    159,536.25/239,790.38 = 239,790.38/x
  3. Step 3: Cross multiply
    159,536.25x = 239,790.38 × 239,790.38
  4. Step 4: Simplify right side
    159,536.25x = 57,499,423,942.64
  5. Step 5: Solve for x
    x = 57,499,423,942.64/159,536.25
  6. Step 6: Final answer
    x = 360,416.04

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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.