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Finding the Third Proportional to 238,696 and 334,604

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Solution

The third proportional to 238,696 and 334,604 is: 469,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,696 : 334,604 = 334,604 : x
  2. Step 2: Convert to fraction form
    238,696/334,604 = 334,604/x
  3. Step 3: Cross multiply
    238,696x = 334,604 × 334,604
  4. Step 4: Simplify right side
    238,696x = 111,959,836,816
  5. Step 5: Solve for x
    x = 111,959,836,816/238,696
  6. Step 6: Final answer
    x = 469,047.81

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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.