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Finding the Third Proportional to 161,096 and 363,970

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Solution

The third proportional to 161,096 and 363,970 is: 822,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,096 : 363,970 = 363,970 : x
  2. Step 2: Convert to fraction form
    161,096/363,970 = 363,970/x
  3. Step 3: Cross multiply
    161,096x = 363,970 × 363,970
  4. Step 4: Simplify right side
    161,096x = 132,474,160,900
  5. Step 5: Solve for x
    x = 132,474,160,900/161,096
  6. Step 6: Final answer
    x = 822,330.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.