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Finding the Third Proportional to 166,485 and 363,385.50

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Solution

The third proportional to 166,485 and 363,385.50 is: 793,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,485 : 363,385.50 = 363,385.50 : x
  2. Step 2: Convert to fraction form
    166,485/363,385.50 = 363,385.50/x
  3. Step 3: Cross multiply
    166,485x = 363,385.50 × 363,385.50
  4. Step 4: Simplify right side
    166,485x = 132,049,021,610.25
  5. Step 5: Solve for x
    x = 132,049,021,610.25/166,485
  6. Step 6: Final answer
    x = 793,158.67

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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.