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Finding the Third Proportional to 101,283 and 220,789

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Solution

The third proportional to 101,283 and 220,789 is: 481,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,283 : 220,789 = 220,789 : x
  2. Step 2: Convert to fraction form
    101,283/220,789 = 220,789/x
  3. Step 3: Cross multiply
    101,283x = 220,789 × 220,789
  4. Step 4: Simplify right side
    101,283x = 48,747,782,521
  5. Step 5: Solve for x
    x = 48,747,782,521/101,283
  6. Step 6: Final answer
    x = 481,302.71

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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.