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Finding the Third Proportional to 166,728 and 385,644

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Solution

The third proportional to 166,728 and 385,644 is: 891,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,728 : 385,644 = 385,644 : x
  2. Step 2: Convert to fraction form
    166,728/385,644 = 385,644/x
  3. Step 3: Cross multiply
    166,728x = 385,644 × 385,644
  4. Step 4: Simplify right side
    166,728x = 148,721,294,736
  5. Step 5: Solve for x
    x = 148,721,294,736/166,728
  6. Step 6: Final answer
    x = 891,999.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.