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Finding the Third Proportional to 160,314 and 344,764

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Solution

The third proportional to 160,314 and 344,764 is: 741,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,314 : 344,764 = 344,764 : x
  2. Step 2: Convert to fraction form
    160,314/344,764 = 344,764/x
  3. Step 3: Cross multiply
    160,314x = 344,764 × 344,764
  4. Step 4: Simplify right side
    160,314x = 118,862,215,696
  5. Step 5: Solve for x
    x = 118,862,215,696/160,314
  6. Step 6: Final answer
    x = 741,433.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.