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Finding the Third Proportional to 163,350 and 333,612

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Solution

The third proportional to 163,350 and 333,612 is: 681,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,350 : 333,612 = 333,612 : x
  2. Step 2: Convert to fraction form
    163,350/333,612 = 333,612/x
  3. Step 3: Cross multiply
    163,350x = 333,612 × 333,612
  4. Step 4: Simplify right side
    163,350x = 111,296,966,544
  5. Step 5: Solve for x
    x = 111,296,966,544/163,350
  6. Step 6: Final answer
    x = 681,340.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.