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Finding the Third Proportional to 166,746.25 and 365,115.50

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Solution

The third proportional to 166,746.25 and 365,115.50 is: 799,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,746.25 : 365,115.50 = 365,115.50 : x
  2. Step 2: Convert to fraction form
    166,746.25/365,115.50 = 365,115.50/x
  3. Step 3: Cross multiply
    166,746.25x = 365,115.50 × 365,115.50
  4. Step 4: Simplify right side
    166,746.25x = 133,309,328,340.25
  5. Step 5: Solve for x
    x = 133,309,328,340.25/166,746.25
  6. Step 6: Final answer
    x = 799,474.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.