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Finding the Third Proportional to 234,470 and 335,991

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Solution

The third proportional to 234,470 and 335,991 is: 481,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,470 : 335,991 = 335,991 : x
  2. Step 2: Convert to fraction form
    234,470/335,991 = 335,991/x
  3. Step 3: Cross multiply
    234,470x = 335,991 × 335,991
  4. Step 4: Simplify right side
    234,470x = 112,889,952,081
  5. Step 5: Solve for x
    x = 112,889,952,081/234,470
  6. Step 6: Final answer
    x = 481,468.64

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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.