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Finding the Third Proportional to 143,291 and 311,467

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Solution

The third proportional to 143,291 and 311,467 is: 677,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291 : 311,467 = 311,467 : x
  2. Step 2: Convert to fraction form
    143,291/311,467 = 311,467/x
  3. Step 3: Cross multiply
    143,291x = 311,467 × 311,467
  4. Step 4: Simplify right side
    143,291x = 97,011,692,089
  5. Step 5: Solve for x
    x = 97,011,692,089/143,291
  6. Step 6: Final answer
    x = 677,025.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.