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Finding the Third Proportional to 160,812 and 352,722

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Solution

The third proportional to 160,812 and 352,722 is: 773,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,812 : 352,722 = 352,722 : x
  2. Step 2: Convert to fraction form
    160,812/352,722 = 352,722/x
  3. Step 3: Cross multiply
    160,812x = 352,722 × 352,722
  4. Step 4: Simplify right side
    160,812x = 124,412,809,284
  5. Step 5: Solve for x
    x = 124,412,809,284/160,812
  6. Step 6: Final answer
    x = 773,653.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.