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Finding the Third Proportional to 233,468 and 339,996

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Solution

The third proportional to 233,468 and 339,996 is: 495,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,468 : 339,996 = 339,996 : x
  2. Step 2: Convert to fraction form
    233,468/339,996 = 339,996/x
  3. Step 3: Cross multiply
    233,468x = 339,996 × 339,996
  4. Step 4: Simplify right side
    233,468x = 115,597,280,016
  5. Step 5: Solve for x
    x = 115,597,280,016/233,468
  6. Step 6: Final answer
    x = 495,131.15

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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.