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Finding the Third Proportional to 214,859.25 and 468,234

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Solution

The third proportional to 214,859.25 and 468,234 is: 1,020,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,859.25 : 468,234 = 468,234 : x
  2. Step 2: Convert to fraction form
    214,859.25/468,234 = 468,234/x
  3. Step 3: Cross multiply
    214,859.25x = 468,234 × 468,234
  4. Step 4: Simplify right side
    214,859.25x = 219,243,078,756
  5. Step 5: Solve for x
    x = 219,243,078,756/214,859.25
  6. Step 6: Final answer
    x = 1,020,403.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.