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Finding the Third Proportional to 123,584 and 251,512

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Solution

The third proportional to 123,584 and 251,512 is: 511,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,584 : 251,512 = 251,512 : x
  2. Step 2: Convert to fraction form
    123,584/251,512 = 251,512/x
  3. Step 3: Cross multiply
    123,584x = 251,512 × 251,512
  4. Step 4: Simplify right side
    123,584x = 63,258,286,144
  5. Step 5: Solve for x
    x = 63,258,286,144/123,584
  6. Step 6: Final answer
    x = 511,864.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.