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Finding the Third Proportional to 144,182 and 331,865

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Solution

The third proportional to 144,182 and 331,865 is: 763,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,182 : 331,865 = 331,865 : x
  2. Step 2: Convert to fraction form
    144,182/331,865 = 331,865/x
  3. Step 3: Cross multiply
    144,182x = 331,865 × 331,865
  4. Step 4: Simplify right side
    144,182x = 110,134,378,225
  5. Step 5: Solve for x
    x = 110,134,378,225/144,182
  6. Step 6: Final answer
    x = 763,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.