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Finding the Third Proportional to 234,168 and 496,200

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Solution

The third proportional to 234,168 and 496,200 is: 1,051,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,168 : 496,200 = 496,200 : x
  2. Step 2: Convert to fraction form
    234,168/496,200 = 496,200/x
  3. Step 3: Cross multiply
    234,168x = 496,200 × 496,200
  4. Step 4: Simplify right side
    234,168x = 246,214,440,000
  5. Step 5: Solve for x
    x = 246,214,440,000/234,168
  6. Step 6: Final answer
    x = 1,051,443.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.