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Finding the Third Proportional to 166,482 and 363,379.50

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Solution

The third proportional to 166,482 and 363,379.50 is: 793,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,482 : 363,379.50 = 363,379.50 : x
  2. Step 2: Convert to fraction form
    166,482/363,379.50 = 363,379.50/x
  3. Step 3: Cross multiply
    166,482x = 363,379.50 × 363,379.50
  4. Step 4: Simplify right side
    166,482x = 132,044,661,020.25
  5. Step 5: Solve for x
    x = 132,044,661,020.25/166,482
  6. Step 6: Final answer
    x = 793,146.77

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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.