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Finding the Third Proportional to 163,179 and 345,933

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Solution

The third proportional to 163,179 and 345,933 is: 733,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,179 : 345,933 = 345,933 : x
  2. Step 2: Convert to fraction form
    163,179/345,933 = 345,933/x
  3. Step 3: Cross multiply
    163,179x = 345,933 × 345,933
  4. Step 4: Simplify right side
    163,179x = 119,669,640,489
  5. Step 5: Solve for x
    x = 119,669,640,489/163,179
  6. Step 6: Final answer
    x = 733,364.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.