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Finding the Third Proportional to 238,932 and 345,390

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Solution

The third proportional to 238,932 and 345,390 is: 499,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,932 : 345,390 = 345,390 : x
  2. Step 2: Convert to fraction form
    238,932/345,390 = 345,390/x
  3. Step 3: Cross multiply
    238,932x = 345,390 × 345,390
  4. Step 4: Simplify right side
    238,932x = 119,294,252,100
  5. Step 5: Solve for x
    x = 119,294,252,100/238,932
  6. Step 6: Final answer
    x = 499,281.19

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.