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Finding the Third Proportional to 233,424 and 339,929

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Solution

The third proportional to 233,424 and 339,929 is: 495,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424 : 339,929 = 339,929 : x
  2. Step 2: Convert to fraction form
    233,424/339,929 = 339,929/x
  3. Step 3: Cross multiply
    233,424x = 339,929 × 339,929
  4. Step 4: Simplify right side
    233,424x = 115,551,725,041
  5. Step 5: Solve for x
    x = 115,551,725,041/233,424
  6. Step 6: Final answer
    x = 495,029.32

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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.