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Finding the Third Proportional to 214,017 and 331,846

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Solution

The third proportional to 214,017 and 331,846 is: 514,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,017 : 331,846 = 331,846 : x
  2. Step 2: Convert to fraction form
    214,017/331,846 = 331,846/x
  3. Step 3: Cross multiply
    214,017x = 331,846 × 331,846
  4. Step 4: Simplify right side
    214,017x = 110,121,767,716
  5. Step 5: Solve for x
    x = 110,121,767,716/214,017
  6. Step 6: Final answer
    x = 514,546.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.