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Finding the Third Proportional to 179,596 and 281,733

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Solution

The third proportional to 179,596 and 281,733 is: 441,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,596 : 281,733 = 281,733 : x
  2. Step 2: Convert to fraction form
    179,596/281,733 = 281,733/x
  3. Step 3: Cross multiply
    179,596x = 281,733 × 281,733
  4. Step 4: Simplify right side
    179,596x = 79,373,483,289
  5. Step 5: Solve for x
    x = 79,373,483,289/179,596
  6. Step 6: Final answer
    x = 441,955.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.