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Finding the Third Proportional to 160,826 and 343,026

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Solution

The third proportional to 160,826 and 343,026 is: 731,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,826 : 343,026 = 343,026 : x
  2. Step 2: Convert to fraction form
    160,826/343,026 = 343,026/x
  3. Step 3: Cross multiply
    160,826x = 343,026 × 343,026
  4. Step 4: Simplify right side
    160,826x = 117,666,836,676
  5. Step 5: Solve for x
    x = 117,666,836,676/160,826
  6. Step 6: Final answer
    x = 731,640.63

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Why These Related Problems?

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