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Finding the Third Proportional to 238,430 and 334,208

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Solution

The third proportional to 238,430 and 334,208 is: 468,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,430 : 334,208 = 334,208 : x
  2. Step 2: Convert to fraction form
    238,430/334,208 = 334,208/x
  3. Step 3: Cross multiply
    238,430x = 334,208 × 334,208
  4. Step 4: Simplify right side
    238,430x = 111,694,987,264
  5. Step 5: Solve for x
    x = 111,694,987,264/238,430
  6. Step 6: Final answer
    x = 468,460.29

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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.