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Finding the Third Proportional to 229,414 and 343,961

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Solution

The third proportional to 229,414 and 343,961 is: 515,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414 : 343,961 = 343,961 : x
  2. Step 2: Convert to fraction form
    229,414/343,961 = 343,961/x
  3. Step 3: Cross multiply
    229,414x = 343,961 × 343,961
  4. Step 4: Simplify right side
    229,414x = 118,309,169,521
  5. Step 5: Solve for x
    x = 118,309,169,521/229,414
  6. Step 6: Final answer
    x = 515,701.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.