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Finding the Third Proportional to 207,457.75 and 422,525

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Solution

The third proportional to 207,457.75 and 422,525 is: 860,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,457.75 : 422,525 = 422,525 : x
  2. Step 2: Convert to fraction form
    207,457.75/422,525 = 422,525/x
  3. Step 3: Cross multiply
    207,457.75x = 422,525 × 422,525
  4. Step 4: Simplify right side
    207,457.75x = 178,527,375,625
  5. Step 5: Solve for x
    x = 178,527,375,625/207,457.75
  6. Step 6: Final answer
    x = 860,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.