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Finding the Third Proportional to 238,471 and 334,240

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Solution

The third proportional to 238,471 and 334,240 is: 468,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,471 : 334,240 = 334,240 : x
  2. Step 2: Convert to fraction form
    238,471/334,240 = 334,240/x
  3. Step 3: Cross multiply
    238,471x = 334,240 × 334,240
  4. Step 4: Simplify right side
    238,471x = 111,716,377,600
  5. Step 5: Solve for x
    x = 111,716,377,600/238,471
  6. Step 6: Final answer
    x = 468,469.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.