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Finding the Third Proportional to 120,260 and 261,013

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Solution

The third proportional to 120,260 and 261,013 is: 566,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,260 : 261,013 = 261,013 : x
  2. Step 2: Convert to fraction form
    120,260/261,013 = 261,013/x
  3. Step 3: Cross multiply
    120,260x = 261,013 × 261,013
  4. Step 4: Simplify right side
    120,260x = 68,127,786,169
  5. Step 5: Solve for x
    x = 68,127,786,169/120,260
  6. Step 6: Final answer
    x = 566,504.13

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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.