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Finding the Third Proportional to 131,796 and 284,184

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Solution

The third proportional to 131,796 and 284,184 is: 612,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796 : 284,184 = 284,184 : x
  2. Step 2: Convert to fraction form
    131,796/284,184 = 284,184/x
  3. Step 3: Cross multiply
    131,796x = 284,184 × 284,184
  4. Step 4: Simplify right side
    131,796x = 80,760,545,856
  5. Step 5: Solve for x
    x = 80,760,545,856/131,796
  6. Step 6: Final answer
    x = 612,769.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.