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Finding the Third Proportional to 214,926 and 331,411

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Solution

The third proportional to 214,926 and 331,411 is: 511,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,926 : 331,411 = 331,411 : x
  2. Step 2: Convert to fraction form
    214,926/331,411 = 331,411/x
  3. Step 3: Cross multiply
    214,926x = 331,411 × 331,411
  4. Step 4: Simplify right side
    214,926x = 109,833,250,921
  5. Step 5: Solve for x
    x = 109,833,250,921/214,926
  6. Step 6: Final answer
    x = 511,028.22

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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.