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Finding the Third Proportional to 160,796 and 325,966

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Solution

The third proportional to 160,796 and 325,966 is: 660,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796 : 325,966 = 325,966 : x
  2. Step 2: Convert to fraction form
    160,796/325,966 = 325,966/x
  3. Step 3: Cross multiply
    160,796x = 325,966 × 325,966
  4. Step 4: Simplify right side
    160,796x = 106,253,833,156
  5. Step 5: Solve for x
    x = 106,253,833,156/160,796
  6. Step 6: Final answer
    x = 660,798.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.