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Finding the Third Proportional to 175,014 and 258,831

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Solution

The third proportional to 175,014 and 258,831 is: 382,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 258,831 = 258,831 : x
  2. Step 2: Convert to fraction form
    175,014/258,831 = 258,831/x
  3. Step 3: Cross multiply
    175,014x = 258,831 × 258,831
  4. Step 4: Simplify right side
    175,014x = 66,993,486,561
  5. Step 5: Solve for x
    x = 66,993,486,561/175,014
  6. Step 6: Final answer
    x = 382,789.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.