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Finding the Third Proportional to 163,180 and 345,960

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Solution

The third proportional to 163,180 and 345,960 is: 733,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,180 : 345,960 = 345,960 : x
  2. Step 2: Convert to fraction form
    163,180/345,960 = 345,960/x
  3. Step 3: Cross multiply
    163,180x = 345,960 × 345,960
  4. Step 4: Simplify right side
    163,180x = 119,688,321,600
  5. Step 5: Solve for x
    x = 119,688,321,600/163,180
  6. Step 6: Final answer
    x = 733,474.21

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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.