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Finding the Third Proportional to 100,571.63 and 220,347

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Solution

The third proportional to 100,571.63 and 220,347 is: 482,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,571.63 : 220,347 = 220,347 : x
  2. Step 2: Convert to fraction form
    100,571.63/220,347 = 220,347/x
  3. Step 3: Cross multiply
    100,571.63x = 220,347 × 220,347
  4. Step 4: Simplify right side
    100,571.63x = 48,552,800,409
  5. Step 5: Solve for x
    x = 48,552,800,409/100,571.63
  6. Step 6: Final answer
    x = 482,768.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.