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Finding the Third Proportional to 234,666 and 336,276

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Solution

The third proportional to 234,666 and 336,276 is: 481,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,666 : 336,276 = 336,276 : x
  2. Step 2: Convert to fraction form
    234,666/336,276 = 336,276/x
  3. Step 3: Cross multiply
    234,666x = 336,276 × 336,276
  4. Step 4: Simplify right side
    234,666x = 113,081,548,176
  5. Step 5: Solve for x
    x = 113,081,548,176/234,666
  6. Step 6: Final answer
    x = 481,882.97

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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.