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Finding the Third Proportional to 175,399 and 372,662

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Solution

The third proportional to 175,399 and 372,662 is: 791,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,399 : 372,662 = 372,662 : x
  2. Step 2: Convert to fraction form
    175,399/372,662 = 372,662/x
  3. Step 3: Cross multiply
    175,399x = 372,662 × 372,662
  4. Step 4: Simplify right side
    175,399x = 138,876,966,244
  5. Step 5: Solve for x
    x = 138,876,966,244/175,399
  6. Step 6: Final answer
    x = 791,777.41

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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.