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Finding the Third Proportional to 163,002 and 343,703

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Solution

The third proportional to 163,002 and 343,703 is: 724,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,002 : 343,703 = 343,703 : x
  2. Step 2: Convert to fraction form
    163,002/343,703 = 343,703/x
  3. Step 3: Cross multiply
    163,002x = 343,703 × 343,703
  4. Step 4: Simplify right side
    163,002x = 118,131,752,209
  5. Step 5: Solve for x
    x = 118,131,752,209/163,002
  6. Step 6: Final answer
    x = 724,725.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.