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Finding the Third Proportional to 166,678.50 and 264,779.25

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Solution

The third proportional to 166,678.50 and 264,779.25 is: 420,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,678.50 : 264,779.25 = 264,779.25 : x
  2. Step 2: Convert to fraction form
    166,678.50/264,779.25 = 264,779.25/x
  3. Step 3: Cross multiply
    166,678.50x = 264,779.25 × 264,779.25
  4. Step 4: Simplify right side
    166,678.50x = 70,108,051,230.56
  5. Step 5: Solve for x
    x = 70,108,051,230.56/166,678.50
  6. Step 6: Final answer
    x = 420,618.44

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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.