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Finding the Third Proportional to 214,910.50 and 461,535.75

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Solution

The third proportional to 214,910.50 and 461,535.75 is: 991,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.50 : 461,535.75 = 461,535.75 : x
  2. Step 2: Convert to fraction form
    214,910.50/461,535.75 = 461,535.75/x
  3. Step 3: Cross multiply
    214,910.50x = 461,535.75 × 461,535.75
  4. Step 4: Simplify right side
    214,910.50x = 213,015,248,528.06
  5. Step 5: Solve for x
    x = 213,015,248,528.06/214,910.50
  6. Step 6: Final answer
    x = 991,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.