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Finding the Third Proportional to 120,733 and 262,223

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Solution

The third proportional to 120,733 and 262,223 is: 569,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733 : 262,223 = 262,223 : x
  2. Step 2: Convert to fraction form
    120,733/262,223 = 262,223/x
  3. Step 3: Cross multiply
    120,733x = 262,223 × 262,223
  4. Step 4: Simplify right side
    120,733x = 68,760,901,729
  5. Step 5: Solve for x
    x = 68,760,901,729/120,733
  6. Step 6: Final answer
    x = 569,528.64

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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.