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Finding the Third Proportional to 159,792 and 230,184

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Solution

The third proportional to 159,792 and 230,184 is: 331,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,792 : 230,184 = 230,184 : x
  2. Step 2: Convert to fraction form
    159,792/230,184 = 230,184/x
  3. Step 3: Cross multiply
    159,792x = 230,184 × 230,184
  4. Step 4: Simplify right side
    159,792x = 52,984,673,856
  5. Step 5: Solve for x
    x = 52,984,673,856/159,792
  6. Step 6: Final answer
    x = 331,585.27

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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.