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Finding the Third Proportional to 156,932 and 345,538

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Solution

The third proportional to 156,932 and 345,538 is: 760,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 345,538 = 345,538 : x
  2. Step 2: Convert to fraction form
    156,932/345,538 = 345,538/x
  3. Step 3: Cross multiply
    156,932x = 345,538 × 345,538
  4. Step 4: Simplify right side
    156,932x = 119,396,509,444
  5. Step 5: Solve for x
    x = 119,396,509,444/156,932
  6. Step 6: Final answer
    x = 760,816.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.