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Finding the Third Proportional to 120,505 and 262,466

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Solution

The third proportional to 120,505 and 262,466 is: 571,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,505 : 262,466 = 262,466 : x
  2. Step 2: Convert to fraction form
    120,505/262,466 = 262,466/x
  3. Step 3: Cross multiply
    120,505x = 262,466 × 262,466
  4. Step 4: Simplify right side
    120,505x = 68,888,401,156
  5. Step 5: Solve for x
    x = 68,888,401,156/120,505
  6. Step 6: Final answer
    x = 571,664.26

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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.