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Finding the Third Proportional to 214,018 and 331,847

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Solution

The third proportional to 214,018 and 331,847 is: 514,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,018 : 331,847 = 331,847 : x
  2. Step 2: Convert to fraction form
    214,018/331,847 = 331,847/x
  3. Step 3: Cross multiply
    214,018x = 331,847 × 331,847
  4. Step 4: Simplify right side
    214,018x = 110,122,431,409
  5. Step 5: Solve for x
    x = 110,122,431,409/214,018
  6. Step 6: Final answer
    x = 514,547.52

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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.