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Finding the Third Proportional to 166,530 and 245,385

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Solution

The third proportional to 166,530 and 245,385 is: 361,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,530 : 245,385 = 245,385 : x
  2. Step 2: Convert to fraction form
    166,530/245,385 = 245,385/x
  3. Step 3: Cross multiply
    166,530x = 245,385 × 245,385
  4. Step 4: Simplify right side
    166,530x = 60,213,798,225
  5. Step 5: Solve for x
    x = 60,213,798,225/166,530
  6. Step 6: Final answer
    x = 361,579.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.