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Finding the Third Proportional to 194,551.50 and 423,177

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Solution

The third proportional to 194,551.50 and 423,177 is: 920,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.50 : 423,177 = 423,177 : x
  2. Step 2: Convert to fraction form
    194,551.50/423,177 = 423,177/x
  3. Step 3: Cross multiply
    194,551.50x = 423,177 × 423,177
  4. Step 4: Simplify right side
    194,551.50x = 179,078,773,329
  5. Step 5: Solve for x
    x = 179,078,773,329/194,551.50
  6. Step 6: Final answer
    x = 920,469.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.