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Finding the Third Proportional to 166,323 and 365,829

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Solution

The third proportional to 166,323 and 365,829 is: 804,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,323 : 365,829 = 365,829 : x
  2. Step 2: Convert to fraction form
    166,323/365,829 = 365,829/x
  3. Step 3: Cross multiply
    166,323x = 365,829 × 365,829
  4. Step 4: Simplify right side
    166,323x = 133,830,857,241
  5. Step 5: Solve for x
    x = 133,830,857,241/166,323
  6. Step 6: Final answer
    x = 804,644.32

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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.