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Finding the Third Proportional to 112,338 and 238,530

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Solution

The third proportional to 112,338 and 238,530 is: 506,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,338 : 238,530 = 238,530 : x
  2. Step 2: Convert to fraction form
    112,338/238,530 = 238,530/x
  3. Step 3: Cross multiply
    112,338x = 238,530 × 238,530
  4. Step 4: Simplify right side
    112,338x = 56,896,560,900
  5. Step 5: Solve for x
    x = 56,896,560,900/112,338
  6. Step 6: Final answer
    x = 506,476.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.