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Finding the Third Proportional to 166,464.75 and 366,862.50

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Solution

The third proportional to 166,464.75 and 366,862.50 is: 808,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464.75 : 366,862.50 = 366,862.50 : x
  2. Step 2: Convert to fraction form
    166,464.75/366,862.50 = 366,862.50/x
  3. Step 3: Cross multiply
    166,464.75x = 366,862.50 × 366,862.50
  4. Step 4: Simplify right side
    166,464.75x = 134,588,093,906.25
  5. Step 5: Solve for x
    x = 134,588,093,906.25/166,464.75
  6. Step 6: Final answer
    x = 808,508.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.