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Finding the Third Proportional to 175,409 and 372,682

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Solution

The third proportional to 175,409 and 372,682 is: 791,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,409 : 372,682 = 372,682 : x
  2. Step 2: Convert to fraction form
    175,409/372,682 = 372,682/x
  3. Step 3: Cross multiply
    175,409x = 372,682 × 372,682
  4. Step 4: Simplify right side
    175,409x = 138,891,873,124
  5. Step 5: Solve for x
    x = 138,891,873,124/175,409
  6. Step 6: Final answer
    x = 791,817.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.