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Finding the Third Proportional to 204,655.50 and 440,415

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Solution

The third proportional to 204,655.50 and 440,415 is: 947,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,655.50 : 440,415 = 440,415 : x
  2. Step 2: Convert to fraction form
    204,655.50/440,415 = 440,415/x
  3. Step 3: Cross multiply
    204,655.50x = 440,415 × 440,415
  4. Step 4: Simplify right side
    204,655.50x = 193,965,372,225
  5. Step 5: Solve for x
    x = 193,965,372,225/204,655.50
  6. Step 6: Final answer
    x = 947,765.26

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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.