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Finding the Third Proportional to 214,930 and 331,416

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Solution

The third proportional to 214,930 and 331,416 is: 511,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,930 : 331,416 = 331,416 : x
  2. Step 2: Convert to fraction form
    214,930/331,416 = 331,416/x
  3. Step 3: Cross multiply
    214,930x = 331,416 × 331,416
  4. Step 4: Simplify right side
    214,930x = 109,836,565,056
  5. Step 5: Solve for x
    x = 109,836,565,056/214,930
  6. Step 6: Final answer
    x = 511,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.