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Finding the Third Proportional to 122,475 and 262,446

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Solution

The third proportional to 122,475 and 262,446 is: 562,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,475 : 262,446 = 262,446 : x
  2. Step 2: Convert to fraction form
    122,475/262,446 = 262,446/x
  3. Step 3: Cross multiply
    122,475x = 262,446 × 262,446
  4. Step 4: Simplify right side
    122,475x = 68,877,902,916
  5. Step 5: Solve for x
    x = 68,877,902,916/122,475
  6. Step 6: Final answer
    x = 562,383.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.