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Finding the Third Proportional to 166,063.50 and 264,368

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Solution

The third proportional to 166,063.50 and 264,368 is: 420,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,063.50 : 264,368 = 264,368 : x
  2. Step 2: Convert to fraction form
    166,063.50/264,368 = 264,368/x
  3. Step 3: Cross multiply
    166,063.50x = 264,368 × 264,368
  4. Step 4: Simplify right side
    166,063.50x = 69,890,439,424
  5. Step 5: Solve for x
    x = 69,890,439,424/166,063.50
  6. Step 6: Final answer
    x = 420,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.