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Finding the Third Proportional to 133,824 and 201,872

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Solution

The third proportional to 133,824 and 201,872 is: 304,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 201,872 = 201,872 : x
  2. Step 2: Convert to fraction form
    133,824/201,872 = 201,872/x
  3. Step 3: Cross multiply
    133,824x = 201,872 × 201,872
  4. Step 4: Simplify right side
    133,824x = 40,752,304,384
  5. Step 5: Solve for x
    x = 40,752,304,384/133,824
  6. Step 6: Final answer
    x = 304,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.