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Finding the Third Proportional to 198,022.50 and 467,313

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Solution

The third proportional to 198,022.50 and 467,313 is: 1,102,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,022.50 : 467,313 = 467,313 : x
  2. Step 2: Convert to fraction form
    198,022.50/467,313 = 467,313/x
  3. Step 3: Cross multiply
    198,022.50x = 467,313 × 467,313
  4. Step 4: Simplify right side
    198,022.50x = 218,381,439,969
  5. Step 5: Solve for x
    x = 218,381,439,969/198,022.50
  6. Step 6: Final answer
    x = 1,102,811.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.