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Finding the Third Proportional to 133,182 and 288,234

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Solution

The third proportional to 133,182 and 288,234 is: 623,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,182 : 288,234 = 288,234 : x
  2. Step 2: Convert to fraction form
    133,182/288,234 = 288,234/x
  3. Step 3: Cross multiply
    133,182x = 288,234 × 288,234
  4. Step 4: Simplify right side
    133,182x = 83,078,838,756
  5. Step 5: Solve for x
    x = 83,078,838,756/133,182
  6. Step 6: Final answer
    x = 623,799.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.