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Finding the Third Proportional to 163,059 and 356,007

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Solution

The third proportional to 163,059 and 356,007 is: 777,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,059 : 356,007 = 356,007 : x
  2. Step 2: Convert to fraction form
    163,059/356,007 = 356,007/x
  3. Step 3: Cross multiply
    163,059x = 356,007 × 356,007
  4. Step 4: Simplify right side
    163,059x = 126,740,984,049
  5. Step 5: Solve for x
    x = 126,740,984,049/163,059
  6. Step 6: Final answer
    x = 777,270.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.