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Finding the Third Proportional to 233,464 and 339,990

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Solution

The third proportional to 233,464 and 339,990 is: 495,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,464 : 339,990 = 339,990 : x
  2. Step 2: Convert to fraction form
    233,464/339,990 = 339,990/x
  3. Step 3: Cross multiply
    233,464x = 339,990 × 339,990
  4. Step 4: Simplify right side
    233,464x = 115,593,200,100
  5. Step 5: Solve for x
    x = 115,593,200,100/233,464
  6. Step 6: Final answer
    x = 495,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.