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Finding the Third Proportional to 114,192 and 240,694

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Solution

The third proportional to 114,192 and 240,694 is: 507,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,192 : 240,694 = 240,694 : x
  2. Step 2: Convert to fraction form
    114,192/240,694 = 240,694/x
  3. Step 3: Cross multiply
    114,192x = 240,694 × 240,694
  4. Step 4: Simplify right side
    114,192x = 57,933,601,636
  5. Step 5: Solve for x
    x = 57,933,601,636/114,192
  6. Step 6: Final answer
    x = 507,335.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.