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Finding the Third Proportional to 122,902 and 269,556

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Solution

The third proportional to 122,902 and 269,556 is: 591,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,902 : 269,556 = 269,556 : x
  2. Step 2: Convert to fraction form
    122,902/269,556 = 269,556/x
  3. Step 3: Cross multiply
    122,902x = 269,556 × 269,556
  4. Step 4: Simplify right side
    122,902x = 72,660,437,136
  5. Step 5: Solve for x
    x = 72,660,437,136/122,902
  6. Step 6: Final answer
    x = 591,206.30

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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.