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Finding the Third Proportional to 120,733 and 262,243

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Solution

The third proportional to 120,733 and 262,243 is: 569,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733 : 262,243 = 262,243 : x
  2. Step 2: Convert to fraction form
    120,733/262,243 = 262,243/x
  3. Step 3: Cross multiply
    120,733x = 262,243 × 262,243
  4. Step 4: Simplify right side
    120,733x = 68,771,391,049
  5. Step 5: Solve for x
    x = 68,771,391,049/120,733
  6. Step 6: Final answer
    x = 569,615.52

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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.