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Finding the Third Proportional to 175,962 and 386,914

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Solution

The third proportional to 175,962 and 386,914 is: 850,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,962 : 386,914 = 386,914 : x
  2. Step 2: Convert to fraction form
    175,962/386,914 = 386,914/x
  3. Step 3: Cross multiply
    175,962x = 386,914 × 386,914
  4. Step 4: Simplify right side
    175,962x = 149,702,443,396
  5. Step 5: Solve for x
    x = 149,702,443,396/175,962
  6. Step 6: Final answer
    x = 850,765.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.