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Finding the Third Proportional to 106,980 and 234,252

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Solution

The third proportional to 106,980 and 234,252 is: 512,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980 : 234,252 = 234,252 : x
  2. Step 2: Convert to fraction form
    106,980/234,252 = 234,252/x
  3. Step 3: Cross multiply
    106,980x = 234,252 × 234,252
  4. Step 4: Simplify right side
    106,980x = 54,873,999,504
  5. Step 5: Solve for x
    x = 54,873,999,504/106,980
  6. Step 6: Final answer
    x = 512,936.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.