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Finding the Third Proportional to 120,908 and 263,232

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Solution

The third proportional to 120,908 and 263,232 is: 573,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908 : 263,232 = 263,232 : x
  2. Step 2: Convert to fraction form
    120,908/263,232 = 263,232/x
  3. Step 3: Cross multiply
    120,908x = 263,232 × 263,232
  4. Step 4: Simplify right side
    120,908x = 69,291,085,824
  5. Step 5: Solve for x
    x = 69,291,085,824/120,908
  6. Step 6: Final answer
    x = 573,089.34

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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.