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Finding the Third Proportional to 234,829.13 and 335,704.50

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Solution

The third proportional to 234,829.13 and 335,704.50 is: 479,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,829.13 : 335,704.50 = 335,704.50 : x
  2. Step 2: Convert to fraction form
    234,829.13/335,704.50 = 335,704.50/x
  3. Step 3: Cross multiply
    234,829.13x = 335,704.50 × 335,704.50
  4. Step 4: Simplify right side
    234,829.13x = 112,697,511,320.25
  5. Step 5: Solve for x
    x = 112,697,511,320.25/234,829.13
  6. Step 6: Final answer
    x = 479,912.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.