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Finding the Third Proportional to 175,662 and 377,973

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Solution

The third proportional to 175,662 and 377,973 is: 813,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,662 : 377,973 = 377,973 : x
  2. Step 2: Convert to fraction form
    175,662/377,973 = 377,973/x
  3. Step 3: Cross multiply
    175,662x = 377,973 × 377,973
  4. Step 4: Simplify right side
    175,662x = 142,863,588,729
  5. Step 5: Solve for x
    x = 142,863,588,729/175,662
  6. Step 6: Final answer
    x = 813,286.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.