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Finding the Third Proportional to 232,992 and 349,128

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Solution

The third proportional to 232,992 and 349,128 is: 523,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,992 : 349,128 = 349,128 : x
  2. Step 2: Convert to fraction form
    232,992/349,128 = 349,128/x
  3. Step 3: Cross multiply
    232,992x = 349,128 × 349,128
  4. Step 4: Simplify right side
    232,992x = 121,890,360,384
  5. Step 5: Solve for x
    x = 121,890,360,384/232,992
  6. Step 6: Final answer
    x = 523,152.56

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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.