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Finding the Third Proportional to 197,563.50 and 426,715.88

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Solution

The third proportional to 197,563.50 and 426,715.88 is: 921,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,563.50 : 426,715.88 = 426,715.88 : x
  2. Step 2: Convert to fraction form
    197,563.50/426,715.88 = 426,715.88/x
  3. Step 3: Cross multiply
    197,563.50x = 426,715.88 × 426,715.88
  4. Step 4: Simplify right side
    197,563.50x = 182,086,437,977.02
  5. Step 5: Solve for x
    x = 182,086,437,977.02/197,563.50
  6. Step 6: Final answer
    x = 921,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.