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Finding the Third Proportional to 112,932 and 238,392

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Solution

The third proportional to 112,932 and 238,392 is: 503,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,932 : 238,392 = 238,392 : x
  2. Step 2: Convert to fraction form
    112,932/238,392 = 238,392/x
  3. Step 3: Cross multiply
    112,932x = 238,392 × 238,392
  4. Step 4: Simplify right side
    112,932x = 56,830,745,664
  5. Step 5: Solve for x
    x = 56,830,745,664/112,932
  6. Step 6: Final answer
    x = 503,229.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.