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Finding the Third Proportional to 117,333 and 240,132

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Solution

The third proportional to 117,333 and 240,132 is: 491,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,333 : 240,132 = 240,132 : x
  2. Step 2: Convert to fraction form
    117,333/240,132 = 240,132/x
  3. Step 3: Cross multiply
    117,333x = 240,132 × 240,132
  4. Step 4: Simplify right side
    117,333x = 57,663,377,424
  5. Step 5: Solve for x
    x = 57,663,377,424/117,333
  6. Step 6: Final answer
    x = 491,450.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.