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Finding the Third Proportional to 233,470 and 339,999

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Solution

The third proportional to 233,470 and 339,999 is: 495,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,470 : 339,999 = 339,999 : x
  2. Step 2: Convert to fraction form
    233,470/339,999 = 339,999/x
  3. Step 3: Cross multiply
    233,470x = 339,999 × 339,999
  4. Step 4: Simplify right side
    233,470x = 115,599,320,001
  5. Step 5: Solve for x
    x = 115,599,320,001/233,470
  6. Step 6: Final answer
    x = 495,135.65

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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.