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Finding the Third Proportional to 120,273 and 261,041

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Solution

The third proportional to 120,273 and 261,041 is: 566,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273 : 261,041 = 261,041 : x
  2. Step 2: Convert to fraction form
    120,273/261,041 = 261,041/x
  3. Step 3: Cross multiply
    120,273x = 261,041 × 261,041
  4. Step 4: Simplify right side
    120,273x = 68,142,403,681
  5. Step 5: Solve for x
    x = 68,142,403,681/120,273
  6. Step 6: Final answer
    x = 566,564.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.