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Finding the Third Proportional to 238,004 and 343,902

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Solution

The third proportional to 238,004 and 343,902 is: 496,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,004 : 343,902 = 343,902 : x
  2. Step 2: Convert to fraction form
    238,004/343,902 = 343,902/x
  3. Step 3: Cross multiply
    238,004x = 343,902 × 343,902
  4. Step 4: Simplify right side
    238,004x = 118,268,585,604
  5. Step 5: Solve for x
    x = 118,268,585,604/238,004
  6. Step 6: Final answer
    x = 496,918.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.