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Finding the Third Proportional to 234,468 and 335,988

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Solution

The third proportional to 234,468 and 335,988 is: 481,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,468 : 335,988 = 335,988 : x
  2. Step 2: Convert to fraction form
    234,468/335,988 = 335,988/x
  3. Step 3: Cross multiply
    234,468x = 335,988 × 335,988
  4. Step 4: Simplify right side
    234,468x = 112,887,936,144
  5. Step 5: Solve for x
    x = 112,887,936,144/234,468
  6. Step 6: Final answer
    x = 481,464.15

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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.