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Finding the Third Proportional to 221,674.50 and 343,947.38

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Solution

The third proportional to 221,674.50 and 343,947.38 is: 533,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,674.50 : 343,947.38 = 343,947.38 : x
  2. Step 2: Convert to fraction form
    221,674.50/343,947.38 = 343,947.38/x
  3. Step 3: Cross multiply
    221,674.50x = 343,947.38 × 343,947.38
  4. Step 4: Simplify right side
    221,674.50x = 118,299,796,769.39
  5. Step 5: Solve for x
    x = 118,299,796,769.39/221,674.50
  6. Step 6: Final answer
    x = 533,664.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.