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Finding the Third Proportional to 179,716 and 279,420

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Solution

The third proportional to 179,716 and 279,420 is: 434,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,716 : 279,420 = 279,420 : x
  2. Step 2: Convert to fraction form
    179,716/279,420 = 279,420/x
  3. Step 3: Cross multiply
    179,716x = 279,420 × 279,420
  4. Step 4: Simplify right side
    179,716x = 78,075,536,400
  5. Step 5: Solve for x
    x = 78,075,536,400/179,716
  6. Step 6: Final answer
    x = 434,438.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.