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Finding the Third Proportional to 234,120 and 496,104

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Solution

The third proportional to 234,120 and 496,104 is: 1,051,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,120 : 496,104 = 496,104 : x
  2. Step 2: Convert to fraction form
    234,120/496,104 = 496,104/x
  3. Step 3: Cross multiply
    234,120x = 496,104 × 496,104
  4. Step 4: Simplify right side
    234,120x = 246,119,178,816
  5. Step 5: Solve for x
    x = 246,119,178,816/234,120
  6. Step 6: Final answer
    x = 1,051,252.26

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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.