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Finding the Third Proportional to 131,184 and 283,104

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Solution

The third proportional to 131,184 and 283,104 is: 610,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 283,104 = 283,104 : x
  2. Step 2: Convert to fraction form
    131,184/283,104 = 283,104/x
  3. Step 3: Cross multiply
    131,184x = 283,104 × 283,104
  4. Step 4: Simplify right side
    131,184x = 80,147,874,816
  5. Step 5: Solve for x
    x = 80,147,874,816/131,184
  6. Step 6: Final answer
    x = 610,957.70

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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.