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Finding the Third Proportional to 120,277 and 261,043

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Solution

The third proportional to 120,277 and 261,043 is: 566,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277 : 261,043 = 261,043 : x
  2. Step 2: Convert to fraction form
    120,277/261,043 = 261,043/x
  3. Step 3: Cross multiply
    120,277x = 261,043 × 261,043
  4. Step 4: Simplify right side
    120,277x = 68,143,447,849
  5. Step 5: Solve for x
    x = 68,143,447,849/120,277
  6. Step 6: Final answer
    x = 566,554.27

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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.