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Finding the Third Proportional to 201.94 and 545.63

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Solution

The third proportional to 201.94 and 545.63 is: 1,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 545.63 = 545.63 : x
  2. Step 2: Convert to fraction form
    201.94/545.63 = 545.63/x
  3. Step 3: Cross multiply
    201.94x = 545.63 × 545.63
  4. Step 4: Simplify right side
    201.94x = 297,706.64
  5. Step 5: Solve for x
    x = 297,706.64/201.94
  6. Step 6: Final answer
    x = 1,474.25

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.