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Finding the Third Proportional to 214,523 and 321,370

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Solution

The third proportional to 214,523 and 321,370 is: 481,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,523 : 321,370 = 321,370 : x
  2. Step 2: Convert to fraction form
    214,523/321,370 = 321,370/x
  3. Step 3: Cross multiply
    214,523x = 321,370 × 321,370
  4. Step 4: Simplify right side
    214,523x = 103,278,676,900
  5. Step 5: Solve for x
    x = 103,278,676,900/214,523
  6. Step 6: Final answer
    x = 481,434.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.