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Finding the Third Proportional to 122,302 and 266,110

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Solution

The third proportional to 122,302 and 266,110 is: 579,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302 : 266,110 = 266,110 : x
  2. Step 2: Convert to fraction form
    122,302/266,110 = 266,110/x
  3. Step 3: Cross multiply
    122,302x = 266,110 × 266,110
  4. Step 4: Simplify right side
    122,302x = 70,814,532,100
  5. Step 5: Solve for x
    x = 70,814,532,100/122,302
  6. Step 6: Final answer
    x = 579,013.69

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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.