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Finding the Third Proportional to 163,335.50 and 351,694

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Solution

The third proportional to 163,335.50 and 351,694 is: 757,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,335.50 : 351,694 = 351,694 : x
  2. Step 2: Convert to fraction form
    163,335.50/351,694 = 351,694/x
  3. Step 3: Cross multiply
    163,335.50x = 351,694 × 351,694
  4. Step 4: Simplify right side
    163,335.50x = 123,688,669,636
  5. Step 5: Solve for x
    x = 123,688,669,636/163,335.50
  6. Step 6: Final answer
    x = 757,267.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.