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Finding the Third Proportional to 122,694 and 250,548

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Solution

The third proportional to 122,694 and 250,548 is: 511,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,694 : 250,548 = 250,548 : x
  2. Step 2: Convert to fraction form
    122,694/250,548 = 250,548/x
  3. Step 3: Cross multiply
    122,694x = 250,548 × 250,548
  4. Step 4: Simplify right side
    122,694x = 62,774,300,304
  5. Step 5: Solve for x
    x = 62,774,300,304/122,694
  6. Step 6: Final answer
    x = 511,633.01

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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.