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Finding the Third Proportional to 160,499 and 341,734

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Solution

The third proportional to 160,499 and 341,734 is: 727,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,499 : 341,734 = 341,734 : x
  2. Step 2: Convert to fraction form
    160,499/341,734 = 341,734/x
  3. Step 3: Cross multiply
    160,499x = 341,734 × 341,734
  4. Step 4: Simplify right side
    160,499x = 116,782,126,756
  5. Step 5: Solve for x
    x = 116,782,126,756/160,499
  6. Step 6: Final answer
    x = 727,619.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.