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Finding the Third Proportional to 119,646 and 251,686

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Solution

The third proportional to 119,646 and 251,686 is: 529,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,646 : 251,686 = 251,686 : x
  2. Step 2: Convert to fraction form
    119,646/251,686 = 251,686/x
  3. Step 3: Cross multiply
    119,646x = 251,686 × 251,686
  4. Step 4: Simplify right side
    119,646x = 63,345,842,596
  5. Step 5: Solve for x
    x = 63,345,842,596/119,646
  6. Step 6: Final answer
    x = 529,443.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.