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Finding the Third Proportional to 214,967.25 and 455,532.75

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Solution

The third proportional to 214,967.25 and 455,532.75 is: 965,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.25 : 455,532.75 = 455,532.75 : x
  2. Step 2: Convert to fraction form
    214,967.25/455,532.75 = 455,532.75/x
  3. Step 3: Cross multiply
    214,967.25x = 455,532.75 × 455,532.75
  4. Step 4: Simplify right side
    214,967.25x = 207,510,086,322.56
  5. Step 5: Solve for x
    x = 207,510,086,322.56/214,967.25
  6. Step 6: Final answer
    x = 965,310.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.